Finding the Third Proportional to 82,084.50 and 117,942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,084.50 : 117,942.75 = 117,942.75 : x
2. Step 2: Convert to fraction form
   82,084.50/117,942.75 = 117,942.75/x
3. Step 3: Cross multiply
   82,084.50x = 117,942.75 × 117,942.75
4. Step 4: Simplify right side
   82,084.50x = 13,910,492,277.56
5. Step 5: Solve for x
   x = 13,910,492,277.56/82,084.50
6. Step 6: Final answer
   x = 169,465.52