Finding the Third Proportional to 53,364 and 116,566

Step by Step Solution

1. Step 1: Write the proportion equation
   53,364 : 116,566 = 116,566 : x
2. Step 2: Convert to fraction form
   53,364/116,566 = 116,566/x
3. Step 3: Cross multiply
   53,364x = 116,566 × 116,566
4. Step 4: Simplify right side
   53,364x = 13,587,632,356
5. Step 5: Solve for x
   x = 13,587,632,356/53,364
6. Step 6: Final answer
   x = 254,621.70