Finding the Third Proportional to 114,561 and 175,243.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,561 : 175,243.50 = 175,243.50 : x
2. Step 2: Convert to fraction form
   114,561/175,243.50 = 175,243.50/x
3. Step 3: Cross multiply
   114,561x = 175,243.50 × 175,243.50
4. Step 4: Simplify right side
   114,561x = 30,710,284,292.25
5. Step 5: Solve for x
   x = 30,710,284,292.25/114,561
6. Step 6: Final answer
   x = 268,069.28