Finding the Third Proportional to 114,527 and 173,045.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,527 : 173,045.50 = 173,045.50 : x
2. Step 2: Convert to fraction form
   114,527/173,045.50 = 173,045.50/x
3. Step 3: Cross multiply
   114,527x = 173,045.50 × 173,045.50
4. Step 4: Simplify right side
   114,527x = 29,944,745,070.25
5. Step 5: Solve for x
   x = 29,944,745,070.25/114,527
6. Step 6: Final answer
   x = 261,464.50