Finding the Third Proportional to 82,149.75 and 168,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,149.75 : 168,185.25 = 168,185.25 : x
2. Step 2: Convert to fraction form
   82,149.75/168,185.25 = 168,185.25/x
3. Step 3: Cross multiply
   82,149.75x = 168,185.25 × 168,185.25
4. Step 4: Simplify right side
   82,149.75x = 28,286,278,317.56
5. Step 5: Solve for x
   x = 28,286,278,317.56/82,149.75
6. Step 6: Final answer
   x = 344,325.80