Finding the Third Proportional to 125,287.50 and 181,019.25

Step by Step Solution

1. Step 1: Write the proportion equation
   125,287.50 : 181,019.25 = 181,019.25 : x
2. Step 2: Convert to fraction form
   125,287.50/181,019.25 = 181,019.25/x
3. Step 3: Cross multiply
   125,287.50x = 181,019.25 × 181,019.25
4. Step 4: Simplify right side
   125,287.50x = 32,767,968,870.56
5. Step 5: Solve for x
   x = 32,767,968,870.56/125,287.50
6. Step 6: Final answer
   x = 261,542.20