Finding the Third Proportional to 59,848 and 126,008

Step by Step Solution

1. Step 1: Write the proportion equation
   59,848 : 126,008 = 126,008 : x
2. Step 2: Convert to fraction form
   59,848/126,008 = 126,008/x
3. Step 3: Cross multiply
   59,848x = 126,008 × 126,008
4. Step 4: Simplify right side
   59,848x = 15,878,016,064
5. Step 5: Solve for x
   x = 15,878,016,064/59,848
6. Step 6: Final answer
   x = 265,305.71