Finding the Third Proportional to 125,517 and 175,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,517 : 175,561.50 = 175,561.50 : x
2. Step 2: Convert to fraction form
   125,517/175,561.50 = 175,561.50/x
3. Step 3: Cross multiply
   125,517x = 175,561.50 × 175,561.50
4. Step 4: Simplify right side
   125,517x = 30,821,840,282.25
5. Step 5: Solve for x
   x = 30,821,840,282.25/125,517
6. Step 6: Final answer
   x = 245,559.09