Finding the Third Proportional to 84,265.50 and 185,478

Step by Step Solution

1. Step 1: Write the proportion equation
   84,265.50 : 185,478 = 185,478 : x
2. Step 2: Convert to fraction form
   84,265.50/185,478 = 185,478/x
3. Step 3: Cross multiply
   84,265.50x = 185,478 × 185,478
4. Step 4: Simplify right side
   84,265.50x = 34,402,088,484
5. Step 5: Solve for x
   x = 34,402,088,484/84,265.50
6. Step 6: Final answer
   x = 408,258.28