Finding the Third Proportional to 509,406 and 1,107,260

Step by Step Solution

1. Step 1: Write the proportion equation
   509,406 : 1,107,260 = 1,107,260 : x
2. Step 2: Convert to fraction form
   509,406/1,107,260 = 1,107,260/x
3. Step 3: Cross multiply
   509,406x = 1,107,260 × 1,107,260
4. Step 4: Simplify right side
   509,406x = 1,226,024,707,600
5. Step 5: Solve for x
   x = 1,226,024,707,600/509,406
6. Step 6: Final answer
   x = 2,406,773.20