Finding the Third Proportional to 84,284 and 185,540

Step by Step Solution

1. Step 1: Write the proportion equation
   84,284 : 185,540 = 185,540 : x
2. Step 2: Convert to fraction form
   84,284/185,540 = 185,540/x
3. Step 3: Cross multiply
   84,284x = 185,540 × 185,540
4. Step 4: Simplify right side
   84,284x = 34,425,091,600
5. Step 5: Solve for x
   x = 34,425,091,600/84,284
6. Step 6: Final answer
   x = 408,441.60