Finding the Third Proportional to 53,287 and 116,726

Step by Step Solution

1. Step 1: Write the proportion equation
   53,287 : 116,726 = 116,726 : x
2. Step 2: Convert to fraction form
   53,287/116,726 = 116,726/x
3. Step 3: Cross multiply
   53,287x = 116,726 × 116,726
4. Step 4: Simplify right side
   53,287x = 13,624,959,076
5. Step 5: Solve for x
   x = 13,624,959,076/53,287
6. Step 6: Final answer
   x = 255,690.11