Finding the Third Proportional to 80,689.50 and 172,458

Step by Step Solution

1. Step 1: Write the proportion equation
   80,689.50 : 172,458 = 172,458 : x
2. Step 2: Convert to fraction form
   80,689.50/172,458 = 172,458/x
3. Step 3: Cross multiply
   80,689.50x = 172,458 × 172,458
4. Step 4: Simplify right side
   80,689.50x = 29,741,761,764
5. Step 5: Solve for x
   x = 29,741,761,764/80,689.50
6. Step 6: Final answer
   x = 368,595.19