Finding the Third Proportional to 48,080 and 105,016

Step by Step Solution

1. Step 1: Write the proportion equation
   48,080 : 105,016 = 105,016 : x
2. Step 2: Convert to fraction form
   48,080/105,016 = 105,016/x
3. Step 3: Cross multiply
   48,080x = 105,016 × 105,016
4. Step 4: Simplify right side
   48,080x = 11,028,360,256
5. Step 5: Solve for x
   x = 11,028,360,256/48,080
6. Step 6: Final answer
   x = 229,375.21