Finding the Third Proportional to 82,334.25 and 171,128.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,334.25 : 171,128.25 = 171,128.25 : x
2. Step 2: Convert to fraction form
   82,334.25/171,128.25 = 171,128.25/x
3. Step 3: Cross multiply
   82,334.25x = 171,128.25 × 171,128.25
4. Step 4: Simplify right side
   82,334.25x = 29,284,877,948.06
5. Step 5: Solve for x
   x = 29,284,877,948.06/82,334.25
6. Step 6: Final answer
   x = 355,682.82