Finding the Third Proportional to 82,829.25 and 180,157.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,829.25 : 180,157.50 = 180,157.50 : x
2. Step 2: Convert to fraction form
   82,829.25/180,157.50 = 180,157.50/x
3. Step 3: Cross multiply
   82,829.25x = 180,157.50 × 180,157.50
4. Step 4: Simplify right side
   82,829.25x = 32,456,724,806.25
5. Step 5: Solve for x
   x = 32,456,724,806.25/82,829.25
6. Step 6: Final answer
   x = 391,851.00