Finding the Third Proportional to 162,569 and 215,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,569 : 215,766.50 = 215,766.50 : x
2. Step 2: Convert to fraction form
   162,569/215,766.50 = 215,766.50/x
3. Step 3: Cross multiply
   162,569x = 215,766.50 × 215,766.50
4. Step 4: Simplify right side
   162,569x = 46,555,182,522.25
5. Step 5: Solve for x
   x = 46,555,182,522.25/162,569
6. Step 6: Final answer
   x = 286,371.83