Finding the Third Proportional to 123,028.88 and 177,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,028.88 : 177,799.50 = 177,799.50 : x
2. Step 2: Convert to fraction form
   123,028.88/177,799.50 = 177,799.50/x
3. Step 3: Cross multiply
   123,028.88x = 177,799.50 × 177,799.50
4. Step 4: Simplify right side
   123,028.88x = 31,612,662,200.25
5. Step 5: Solve for x
   x = 31,612,662,200.25/123,028.88
6. Step 6: Final answer
   x = 256,953.19