Finding the Third Proportional to 158,769 and 216,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,769 : 216,217.50 = 216,217.50 : x
2. Step 2: Convert to fraction form
   158,769/216,217.50 = 216,217.50/x
3. Step 3: Cross multiply
   158,769x = 216,217.50 × 216,217.50
4. Step 4: Simplify right side
   158,769x = 46,750,007,306.25
5. Step 5: Solve for x
   x = 46,750,007,306.25/158,769
6. Step 6: Final answer
   x = 294,452.99