Finding the Third Proportional to 82,155.75 and 168,197.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,155.75 : 168,197.25 = 168,197.25 : x
2. Step 2: Convert to fraction form
   82,155.75/168,197.25 = 168,197.25/x
3. Step 3: Cross multiply
   82,155.75x = 168,197.25 × 168,197.25
4. Step 4: Simplify right side
   82,155.75x = 28,290,314,907.56
5. Step 5: Solve for x
   x = 28,290,314,907.56/82,155.75
6. Step 6: Final answer
   x = 344,349.79