Finding the Third Proportional to 80,716 and 172,412

Step by Step Solution

1. Step 1: Write the proportion equation
   80,716 : 172,412 = 172,412 : x
2. Step 2: Convert to fraction form
   80,716/172,412 = 172,412/x
3. Step 3: Cross multiply
   80,716x = 172,412 × 172,412
4. Step 4: Simplify right side
   80,716x = 29,725,897,744
5. Step 5: Solve for x
   x = 29,725,897,744/80,716
6. Step 6: Final answer
   x = 368,277.64