Finding the Third Proportional to 82,168.50 and 117,419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,168.50 : 117,419.25 = 117,419.25 : x
2. Step 2: Convert to fraction form
   82,168.50/117,419.25 = 117,419.25/x
3. Step 3: Cross multiply
   82,168.50x = 117,419.25 × 117,419.25
4. Step 4: Simplify right side
   82,168.50x = 13,787,280,270.56
5. Step 5: Solve for x
   x = 13,787,280,270.56/82,168.50
6. Step 6: Final answer
   x = 167,792.77