Finding the Third Proportional to 53,686 and 116,604

Step by Step Solution

1. Step 1: Write the proportion equation
   53,686 : 116,604 = 116,604 : x
2. Step 2: Convert to fraction form
   53,686/116,604 = 116,604/x
3. Step 3: Cross multiply
   53,686x = 116,604 × 116,604
4. Step 4: Simplify right side
   53,686x = 13,596,492,816
5. Step 5: Solve for x
   x = 13,596,492,816/53,686
6. Step 6: Final answer
   x = 253,259.56