Finding the Third Proportional to 509,472 and 1,107,384

Step by Step Solution

1. Step 1: Write the proportion equation
   509,472 : 1,107,384 = 1,107,384 : x
2. Step 2: Convert to fraction form
   509,472/1,107,384 = 1,107,384/x
3. Step 3: Cross multiply
   509,472x = 1,107,384 × 1,107,384
4. Step 4: Simplify right side
   509,472x = 1,226,299,323,456
5. Step 5: Solve for x
   x = 1,226,299,323,456/509,472
6. Step 6: Final answer
   x = 2,407,000.43