Finding the Third Proportional to 59,850 and 126,012

Step by Step Solution

1. Step 1: Write the proportion equation
   59,850 : 126,012 = 126,012 : x
2. Step 2: Convert to fraction form
   59,850/126,012 = 126,012/x
3. Step 3: Cross multiply
   59,850x = 126,012 × 126,012
4. Step 4: Simplify right side
   59,850x = 15,879,024,144
5. Step 5: Solve for x
   x = 15,879,024,144/59,850
6. Step 6: Final answer
   x = 265,313.69