Finding the Third Proportional to 84,443.50 and 180,686

Step by Step Solution

1. Step 1: Write the proportion equation
   84,443.50 : 180,686 = 180,686 : x
2. Step 2: Convert to fraction form
   84,443.50/180,686 = 180,686/x
3. Step 3: Cross multiply
   84,443.50x = 180,686 × 180,686
4. Step 4: Simplify right side
   84,443.50x = 32,647,430,596
5. Step 5: Solve for x
   x = 32,647,430,596/84,443.50
6. Step 6: Final answer
   x = 386,618.63