Finding the Third Proportional to 397,285.50 and 510,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   397,285.50 : 510,103.50 = 510,103.50 : x
2. Step 2: Convert to fraction form
   397,285.50/510,103.50 = 510,103.50/x
3. Step 3: Cross multiply
   397,285.50x = 510,103.50 × 510,103.50
4. Step 4: Simplify right side
   397,285.50x = 260,205,580,712.25
5. Step 5: Solve for x
   x = 260,205,580,712.25/397,285.50
6. Step 6: Final answer
   x = 654,958.67