Finding the Third Proportional to 234,978 and 496,746

Step by Step Solution

1. Step 1: Write the proportion equation
   234,978 : 496,746 = 496,746 : x
2. Step 2: Convert to fraction form
   234,978/496,746 = 496,746/x
3. Step 3: Cross multiply
   234,978x = 496,746 × 496,746
4. Step 4: Simplify right side
   234,978x = 246,756,588,516
5. Step 5: Solve for x
   x = 246,756,588,516/234,978
6. Step 6: Final answer
   x = 1,050,126.35