Finding the Third Proportional to 261,892,680 and 364,140,834

Step by Step Solution

1. Step 1: Write the proportion equation
   261,892,680 : 364,140,834 = 364,140,834 : x
2. Step 2: Convert to fraction form
   261,892,680/364,140,834 = 364,140,834/x
3. Step 3: Cross multiply
   261,892,680x = 364,140,834 × 364,140,834
4. Step 4: Simplify right side
   261,892,680x = 132,598,546,986,215,552
5. Step 5: Solve for x
   x = 132,598,546,986,215,552/261,892,680
6. Step 6: Final answer
   x = 506,308,717.70