Finding the Third Proportional to 80,314.50 and 117,591

Step by Step Solution

1. Step 1: Write the proportion equation
   80,314.50 : 117,591 = 117,591 : x
2. Step 2: Convert to fraction form
   80,314.50/117,591 = 117,591/x
3. Step 3: Cross multiply
   80,314.50x = 117,591 × 117,591
4. Step 4: Simplify right side
   80,314.50x = 13,827,643,281
5. Step 5: Solve for x
   x = 13,827,643,281/80,314.50
6. Step 6: Final answer
   x = 172,168.70