Finding the Third Proportional to 261,892,676 and 364,140,838

Step by Step Solution

1. Step 1: Write the proportion equation
   261,892,676 : 364,140,838 = 364,140,838 : x
2. Step 2: Convert to fraction form
   261,892,676/364,140,838 = 364,140,838/x
3. Step 3: Cross multiply
   261,892,676x = 364,140,838 × 364,140,838
4. Step 4: Simplify right side
   261,892,676x = 132,598,549,899,342,240
5. Step 5: Solve for x
   x = 132,598,549,899,342,240/261,892,676
6. Step 6: Final answer
   x = 506,308,736.56