Finding the Third Proportional to 81,918 and 172,578

Step by Step Solution

1. Step 1: Write the proportion equation
   81,918 : 172,578 = 172,578 : x
2. Step 2: Convert to fraction form
   81,918/172,578 = 172,578/x
3. Step 3: Cross multiply
   81,918x = 172,578 × 172,578
4. Step 4: Simplify right side
   81,918x = 29,783,166,084
5. Step 5: Solve for x
   x = 29,783,166,084/81,918
6. Step 6: Final answer
   x = 363,572.92