Finding the Third Proportional to 2,558,204,098,624 and 5,688,386,120,876

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558,204,098,624 : 5,688,386,120,876 = 5,688,386,120,876 : x
2. Step 2: Convert to fraction form
   2,558,204,098,624/5,688,386,120,876 = 5,688,386,120,876/x
3. Step 3: Cross multiply
   2,558,204,098,624x = 5,688,386,120,876 × 5,688,386,120,876
4. Step 4: Simplify right side
   2,558,204,098,624x = 32,357,736,660,174,707,921,780,736
5. Step 5: Solve for x
   x = 32,357,736,660,174,707,921,780,736/2,558,204,098,624
6. Step 6: Final answer
   x = 12,648,614,188,984.84