Finding the Third Proportional to 397,296 and 510,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   397,296 : 510,124.50 = 510,124.50 : x
2. Step 2: Convert to fraction form
   397,296/510,124.50 = 510,124.50/x
3. Step 3: Cross multiply
   397,296x = 510,124.50 × 510,124.50
4. Step 4: Simplify right side
   397,296x = 260,227,005,500.25
5. Step 5: Solve for x
   x = 260,227,005,500.25/397,296
6. Step 6: Final answer
   x = 654,995.28