Finding the Third Proportional to 53,584.50 and 116,397

Step by Step Solution

1. Step 1: Write the proportion equation
   53,584.50 : 116,397 = 116,397 : x
2. Step 2: Convert to fraction form
   53,584.50/116,397 = 116,397/x
3. Step 3: Cross multiply
   53,584.50x = 116,397 × 116,397
4. Step 4: Simplify right side
   53,584.50x = 13,548,261,609
5. Step 5: Solve for x
   x = 13,548,261,609/53,584.50
6. Step 6: Final answer
   x = 252,839.19