Finding the Third Proportional to 509,978 and 1,109,380

Step by Step Solution

1. Step 1: Write the proportion equation
   509,978 : 1,109,380 = 1,109,380 : x
2. Step 2: Convert to fraction form
   509,978/1,109,380 = 1,109,380/x
3. Step 3: Cross multiply
   509,978x = 1,109,380 × 1,109,380
4. Step 4: Simplify right side
   509,978x = 1,230,723,984,400
5. Step 5: Solve for x
   x = 1,230,723,984,400/509,978
6. Step 6: Final answer
   x = 2,413,288.39