Finding the Third Proportional to 59,856 and 126,192

Step by Step Solution

1. Step 1: Write the proportion equation
   59,856 : 126,192 = 126,192 : x
2. Step 2: Convert to fraction form
   59,856/126,192 = 126,192/x
3. Step 3: Cross multiply
   59,856x = 126,192 × 126,192
4. Step 4: Simplify right side
   59,856x = 15,924,420,864
5. Step 5: Solve for x
   x = 15,924,420,864/59,856
6. Step 6: Final answer
   x = 266,045.52