Finding the Third Proportional to 82,023,736 and 193,624,760

Step by Step Solution

1. Step 1: Write the proportion equation
   82,023,736 : 193,624,760 = 193,624,760 : x
2. Step 2: Convert to fraction form
   82,023,736/193,624,760 = 193,624,760/x
3. Step 3: Cross multiply
   82,023,736x = 193,624,760 × 193,624,760
4. Step 4: Simplify right side
   82,023,736x = 37,490,547,685,057,600
5. Step 5: Solve for x
   x = 37,490,547,685,057,600/82,023,736
6. Step 6: Final answer
   x = 457,069,496.14