Finding the Third Proportional to 81,569 and 114,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,569 : 114,868.50 = 114,868.50 : x
2. Step 2: Convert to fraction form
   81,569/114,868.50 = 114,868.50/x
3. Step 3: Cross multiply
   81,569x = 114,868.50 × 114,868.50
4. Step 4: Simplify right side
   81,569x = 13,194,772,292.25
5. Step 5: Solve for x
   x = 13,194,772,292.25/81,569
6. Step 6: Final answer
   x = 161,762.09