Finding the Third Proportional to 123,185.25 and 176,141.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,185.25 : 176,141.25 = 176,141.25 : x
2. Step 2: Convert to fraction form
   123,185.25/176,141.25 = 176,141.25/x
3. Step 3: Cross multiply
   123,185.25x = 176,141.25 × 176,141.25
4. Step 4: Simplify right side
   123,185.25x = 31,025,739,951.56
5. Step 5: Solve for x
   x = 31,025,739,951.56/123,185.25
6. Step 6: Final answer
   x = 251,862.46