Finding the Third Proportional to 53,317 and 114,016

Step by Step Solution

1. Step 1: Write the proportion equation
   53,317 : 114,016 = 114,016 : x
2. Step 2: Convert to fraction form
   53,317/114,016 = 114,016/x
3. Step 3: Cross multiply
   53,317x = 114,016 × 114,016
4. Step 4: Simplify right side
   53,317x = 12,999,648,256
5. Step 5: Solve for x
   x = 12,999,648,256/53,317
6. Step 6: Final answer
   x = 243,818.07