Finding the Third Proportional to 73,642 and 112,605

Step by Step Solution

1. Step 1: Write the proportion equation
   73,642 : 112,605 = 112,605 : x
2. Step 2: Convert to fraction form
   73,642/112,605 = 112,605/x
3. Step 3: Cross multiply
   73,642x = 112,605 × 112,605
4. Step 4: Simplify right side
   73,642x = 12,679,886,025
5. Step 5: Solve for x
   x = 12,679,886,025/73,642
6. Step 6: Final answer
   x = 172,182.80