Finding the Third Proportional to 80,812 and 108,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,812 : 108,706.50 = 108,706.50 : x
2. Step 2: Convert to fraction form
   80,812/108,706.50 = 108,706.50/x
3. Step 3: Cross multiply
   80,812x = 108,706.50 × 108,706.50
4. Step 4: Simplify right side
   80,812x = 11,817,103,142.25
5. Step 5: Solve for x
   x = 11,817,103,142.25/80,812
6. Step 6: Final answer
   x = 146,229.56