Finding the Third Proportional to 82,995.75 and 180,065.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,995.75 : 180,065.25 = 180,065.25 : x
2. Step 2: Convert to fraction form
   82,995.75/180,065.25 = 180,065.25/x
3. Step 3: Cross multiply
   82,995.75x = 180,065.25 × 180,065.25
4. Step 4: Simplify right side
   82,995.75x = 32,423,494,257.56
5. Step 5: Solve for x
   x = 32,423,494,257.56/82,995.75
6. Step 6: Final answer
   x = 390,664.51