Finding the Third Proportional to 53,702 and 116,254

Step by Step Solution

1. Step 1: Write the proportion equation
   53,702 : 116,254 = 116,254 : x
2. Step 2: Convert to fraction form
   53,702/116,254 = 116,254/x
3. Step 3: Cross multiply
   53,702x = 116,254 × 116,254
4. Step 4: Simplify right side
   53,702x = 13,514,992,516
5. Step 5: Solve for x
   x = 13,514,992,516/53,702
6. Step 6: Final answer
   x = 251,666.47