Finding the Third Proportional to 81,624 and 173,048

Step by Step Solution

1. Step 1: Write the proportion equation
   81,624 : 173,048 = 173,048 : x
2. Step 2: Convert to fraction form
   81,624/173,048 = 173,048/x
3. Step 3: Cross multiply
   81,624x = 173,048 × 173,048
4. Step 4: Simplify right side
   81,624x = 29,945,610,304
5. Step 5: Solve for x
   x = 29,945,610,304/81,624
6. Step 6: Final answer
   x = 366,872.61