Finding the Third Proportional to 509,408 and 1,107,264

Step by Step Solution

1. Step 1: Write the proportion equation
   509,408 : 1,107,264 = 1,107,264 : x
2. Step 2: Convert to fraction form
   509,408/1,107,264 = 1,107,264/x
3. Step 3: Cross multiply
   509,408x = 1,107,264 × 1,107,264
4. Step 4: Simplify right side
   509,408x = 1,226,033,565,696
5. Step 5: Solve for x
   x = 1,226,033,565,696/509,408
6. Step 6: Final answer
   x = 2,406,781.14