Finding the Third Proportional to 172,304 and 251,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,304 : 251,772.50 = 251,772.50 : x
2. Step 2: Convert to fraction form
   172,304/251,772.50 = 251,772.50/x
3. Step 3: Cross multiply
   172,304x = 251,772.50 × 251,772.50
4. Step 4: Simplify right side
   172,304x = 63,389,391,756.25
5. Step 5: Solve for x
   x = 63,389,391,756.25/172,304
6. Step 6: Final answer
   x = 367,892.75