Finding the Third Proportional to 80,788 and 172,808

Step by Step Solution

1. Step 1: Write the proportion equation
   80,788 : 172,808 = 172,808 : x
2. Step 2: Convert to fraction form
   80,788/172,808 = 172,808/x
3. Step 3: Cross multiply
   80,788x = 172,808 × 172,808
4. Step 4: Simplify right side
   80,788x = 29,862,604,864
5. Step 5: Solve for x
   x = 29,862,604,864/80,788
6. Step 6: Final answer
   x = 369,641.59