Finding the Third Proportional to 47,128 and 109,016

Step by Step Solution

1. Step 1: Write the proportion equation
   47,128 : 109,016 = 109,016 : x
2. Step 2: Convert to fraction form
   47,128/109,016 = 109,016/x
3. Step 3: Cross multiply
   47,128x = 109,016 × 109,016
4. Step 4: Simplify right side
   47,128x = 11,884,488,256
5. Step 5: Solve for x
   x = 11,884,488,256/47,128
6. Step 6: Final answer
   x = 252,174.68