Finding the Third Proportional to 261,892,650 and 364,140,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,892,650 : 364,140,796.50 = 364,140,796.50 : x
2. Step 2: Convert to fraction form
   261,892,650/364,140,796.50 = 364,140,796.50/x
3. Step 3: Cross multiply
   261,892,650x = 364,140,796.50 × 364,140,796.50
4. Step 4: Simplify right side
   261,892,650x = 132,598,519,675,654,416
5. Step 5: Solve for x
   x = 132,598,519,675,654,416/261,892,650
6. Step 6: Final answer
   x = 506,308,671.42