Finding the Third Proportional to 261,892,674 and 364,140,830

Step by Step Solution

1. Step 1: Write the proportion equation
   261,892,674 : 364,140,830 = 364,140,830 : x
2. Step 2: Convert to fraction form
   261,892,674/364,140,830 = 364,140,830/x
3. Step 3: Cross multiply
   261,892,674x = 364,140,830 × 364,140,830
4. Step 4: Simplify right side
   261,892,674x = 132,598,544,073,088,896
5. Step 5: Solve for x
   x = 132,598,544,073,088,896/261,892,674
6. Step 6: Final answer
   x = 506,308,718.18