Finding the Third Proportional to 82,590.50 and 180,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,590.50 : 180,349.50 = 180,349.50 : x
2. Step 2: Convert to fraction form
   82,590.50/180,349.50 = 180,349.50/x
3. Step 3: Cross multiply
   82,590.50x = 180,349.50 × 180,349.50
4. Step 4: Simplify right side
   82,590.50x = 32,525,942,150.25
5. Step 5: Solve for x
   x = 32,525,942,150.25/82,590.50
6. Step 6: Final answer
   x = 393,821.83