Finding the Third Proportional to 337,560 and 508,500

Step by Step Solution

1. Step 1: Write the proportion equation
   337,560 : 508,500 = 508,500 : x
2. Step 2: Convert to fraction form
   337,560/508,500 = 508,500/x
3. Step 3: Cross multiply
   337,560x = 508,500 × 508,500
4. Step 4: Simplify right side
   337,560x = 258,572,250,000
5. Step 5: Solve for x
   x = 258,572,250,000/337,560
6. Step 6: Final answer
   x = 766,003.82