Finding the Third Proportional to 175,969,978.50 and 258,567,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,969,978.50 : 258,567,892.50 = 258,567,892.50 : x
2. Step 2: Convert to fraction form
   175,969,978.50/258,567,892.50 = 258,567,892.50/x
3. Step 3: Cross multiply
   175,969,978.50x = 258,567,892.50 × 258,567,892.50
4. Step 4: Simplify right side
   175,969,978.50x = 66,857,355,031,891,560
5. Step 5: Solve for x
   x = 66,857,355,031,891,560/175,969,978.50
6. Step 6: Final answer
   x = 379,936,143.66