Finding the Third Proportional to 53,802 and 116,676

Step by Step Solution

1. Step 1: Write the proportion equation
   53,802 : 116,676 = 116,676 : x
2. Step 2: Convert to fraction form
   53,802/116,676 = 116,676/x
3. Step 3: Cross multiply
   53,802x = 116,676 × 116,676
4. Step 4: Simplify right side
   53,802x = 13,613,288,976
5. Step 5: Solve for x
   x = 13,613,288,976/53,802
6. Step 6: Final answer
   x = 253,025.70