Finding the Third Proportional to 82,162.50 and 117,411.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,162.50 : 117,411.75 = 117,411.75 : x
2. Step 2: Convert to fraction form
   82,162.50/117,411.75 = 117,411.75/x
3. Step 3: Cross multiply
   82,162.50x = 117,411.75 × 117,411.75
4. Step 4: Simplify right side
   82,162.50x = 13,785,519,038.06
5. Step 5: Solve for x
   x = 13,785,519,038.06/82,162.50
6. Step 6: Final answer
   x = 167,783.59