Finding the Third Proportional to 83,754 and 116,397

Step by Step Solution

1. Step 1: Write the proportion equation
   83,754 : 116,397 = 116,397 : x
2. Step 2: Convert to fraction form
   83,754/116,397 = 116,397/x
3. Step 3: Cross multiply
   83,754x = 116,397 × 116,397
4. Step 4: Simplify right side
   83,754x = 13,548,261,609
5. Step 5: Solve for x
   x = 13,548,261,609/83,754
6. Step 6: Final answer
   x = 161,762.56