Finding the Third Proportional to 384,877.50 and 554,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,877.50 : 554,401.50 = 554,401.50 : x
2. Step 2: Convert to fraction form
   384,877.50/554,401.50 = 554,401.50/x
3. Step 3: Cross multiply
   384,877.50x = 554,401.50 × 554,401.50
4. Step 4: Simplify right side
   384,877.50x = 307,361,023,202.25
5. Step 5: Solve for x
   x = 307,361,023,202.25/384,877.50
6. Step 6: Final answer
   x = 798,594.42