Finding the Third Proportional to 53,649 and 116,532

Step by Step Solution

1. Step 1: Write the proportion equation
   53,649 : 116,532 = 116,532 : x
2. Step 2: Convert to fraction form
   53,649/116,532 = 116,532/x
3. Step 3: Cross multiply
   53,649x = 116,532 × 116,532
4. Step 4: Simplify right side
   53,649x = 13,579,707,024
5. Step 5: Solve for x
   x = 13,579,707,024/53,649
6. Step 6: Final answer
   x = 253,121.34