Finding the Third Proportional to 80,234 and 172,538

Step by Step Solution

1. Step 1: Write the proportion equation
   80,234 : 172,538 = 172,538 : x
2. Step 2: Convert to fraction form
   80,234/172,538 = 172,538/x
3. Step 3: Cross multiply
   80,234x = 172,538 × 172,538
4. Step 4: Simplify right side
   80,234x = 29,769,361,444
5. Step 5: Solve for x
   x = 29,769,361,444/80,234
6. Step 6: Final answer
   x = 371,031.75