Finding the Third Proportional to 84,442.50 and 180,684

Step by Step Solution

1. Step 1: Write the proportion equation
   84,442.50 : 180,684 = 180,684 : x
2. Step 2: Convert to fraction form
   84,442.50/180,684 = 180,684/x
3. Step 3: Cross multiply
   84,442.50x = 180,684 × 180,684
4. Step 4: Simplify right side
   84,442.50x = 32,646,707,856
5. Step 5: Solve for x
   x = 32,646,707,856/84,442.50
6. Step 6: Final answer
   x = 386,614.65