Finding the Third Proportional to 509,404 and 1,107,256

Step by Step Solution

1. Step 1: Write the proportion equation
   509,404 : 1,107,256 = 1,107,256 : x
2. Step 2: Convert to fraction form
   509,404/1,107,256 = 1,107,256/x
3. Step 3: Cross multiply
   509,404x = 1,107,256 × 1,107,256
4. Step 4: Simplify right side
   509,404x = 1,226,015,849,536
5. Step 5: Solve for x
   x = 1,226,015,849,536/509,404
6. Step 6: Final answer
   x = 2,406,765.26