Finding the Third Proportional to 53,577 and 116,678

Step by Step Solution

1. Step 1: Write the proportion equation
   53,577 : 116,678 = 116,678 : x
2. Step 2: Convert to fraction form
   53,577/116,678 = 116,678/x
3. Step 3: Cross multiply
   53,577x = 116,678 × 116,678
4. Step 4: Simplify right side
   53,577x = 13,613,755,684
5. Step 5: Solve for x
   x = 13,613,755,684/53,577
6. Step 6: Final answer
   x = 254,097.01