Finding the Third Proportional to 123,285 and 176,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,285 : 176,179.50 = 176,179.50 : x
2. Step 2: Convert to fraction form
   123,285/176,179.50 = 176,179.50/x
3. Step 3: Cross multiply
   123,285x = 176,179.50 × 176,179.50
4. Step 4: Simplify right side
   123,285x = 31,039,216,220.25
5. Step 5: Solve for x
   x = 31,039,216,220.25/123,285
6. Step 6: Final answer
   x = 251,767.99