Finding the Third Proportional to 123,061.50 and 175,974.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,061.50 : 175,974.75 = 175,974.75 : x
2. Step 2: Convert to fraction form
   123,061.50/175,974.75 = 175,974.75/x
3. Step 3: Cross multiply
   123,061.50x = 175,974.75 × 175,974.75
4. Step 4: Simplify right side
   123,061.50x = 30,967,112,637.56
5. Step 5: Solve for x
   x = 30,967,112,637.56/123,061.50
6. Step 6: Final answer
   x = 251,639.32