Finding the Third Proportional to 83,191.50 and 117,711.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,191.50 : 117,711.75 = 117,711.75 : x
2. Step 2: Convert to fraction form
   83,191.50/117,711.75 = 117,711.75/x
3. Step 3: Cross multiply
   83,191.50x = 117,711.75 × 117,711.75
4. Step 4: Simplify right side
   83,191.50x = 13,856,056,088.06
5. Step 5: Solve for x
   x = 13,856,056,088.06/83,191.50
6. Step 6: Final answer
   x = 166,556.15