Finding the Third Proportional to 82,057.50 and 117,335.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,057.50 : 117,335.25 = 117,335.25 : x
2. Step 2: Convert to fraction form
   82,057.50/117,335.25 = 117,335.25/x
3. Step 3: Cross multiply
   82,057.50x = 117,335.25 × 117,335.25
4. Step 4: Simplify right side
   82,057.50x = 13,767,560,892.56
5. Step 5: Solve for x
   x = 13,767,560,892.56/82,057.50
6. Step 6: Final answer
   x = 167,779.43