Finding the Third Proportional to 123,255 and 176,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,255 : 176,132.50 = 176,132.50 : x
2. Step 2: Convert to fraction form
   123,255/176,132.50 = 176,132.50/x
3. Step 3: Cross multiply
   123,255x = 176,132.50 × 176,132.50
4. Step 4: Simplify right side
   123,255x = 31,022,657,556.25
5. Step 5: Solve for x
   x = 31,022,657,556.25/123,255
6. Step 6: Final answer
   x = 251,694.92