Finding the Third Proportional to 114,521.50 and 173,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,521.50 : 173,037.50 = 173,037.50 : x
2. Step 2: Convert to fraction form
   114,521.50/173,037.50 = 173,037.50/x
3. Step 3: Cross multiply
   114,521.50x = 173,037.50 × 173,037.50
4. Step 4: Simplify right side
   114,521.50x = 29,941,976,406.25
5. Step 5: Solve for x
   x = 29,941,976,406.25/114,521.50
6. Step 6: Final answer
   x = 261,452.88