Finding the Third Proportional to 177,549 and 239,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,549 : 239,959.50 = 239,959.50 : x
2. Step 2: Convert to fraction form
   177,549/239,959.50 = 239,959.50/x
3. Step 3: Cross multiply
   177,549x = 239,959.50 × 239,959.50
4. Step 4: Simplify right side
   177,549x = 57,580,561,640.25
5. Step 5: Solve for x
   x = 57,580,561,640.25/177,549
6. Step 6: Final answer
   x = 324,308.00