Finding the Third Proportional to 337,524 and 712,978

Step by Step Solution

1. Step 1: Write the proportion equation
   337,524 : 712,978 = 712,978 : x
2. Step 2: Convert to fraction form
   337,524/712,978 = 712,978/x
3. Step 3: Cross multiply
   337,524x = 712,978 × 712,978
4. Step 4: Simplify right side
   337,524x = 508,337,628,484
5. Step 5: Solve for x
   x = 508,337,628,484/337,524
6. Step 6: Final answer
   x = 1,506,078.47