Finding the Third Proportional to 80,312.50 and 117,588

Step by Step Solution

1. Step 1: Write the proportion equation
   80,312.50 : 117,588 = 117,588 : x
2. Step 2: Convert to fraction form
   80,312.50/117,588 = 117,588/x
3. Step 3: Cross multiply
   80,312.50x = 117,588 × 117,588
4. Step 4: Simplify right side
   80,312.50x = 13,826,937,744
5. Step 5: Solve for x
   x = 13,826,937,744/80,312.50
6. Step 6: Final answer
   x = 172,164.21