Finding the Third Proportional to 123,036.38 and 175,941.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,036.38 : 175,941.75 = 175,941.75 : x
2. Step 2: Convert to fraction form
   123,036.38/175,941.75 = 175,941.75/x
3. Step 3: Cross multiply
   123,036.38x = 175,941.75 × 175,941.75
4. Step 4: Simplify right side
   123,036.38x = 30,955,499,393.06
5. Step 5: Solve for x
   x = 30,955,499,393.06/123,036.38
6. Step 6: Final answer
   x = 251,596.32