Finding the Third Proportional to 509,926 and 1,120,508

Step by Step Solution

1. Step 1: Write the proportion equation
   509,926 : 1,120,508 = 1,120,508 : x
2. Step 2: Convert to fraction form
   509,926/1,120,508 = 1,120,508/x
3. Step 3: Cross multiply
   509,926x = 1,120,508 × 1,120,508
4. Step 4: Simplify right side
   509,926x = 1,255,538,178,064
5. Step 5: Solve for x
   x = 1,255,538,178,064/509,926
6. Step 6: Final answer
   x = 2,462,196.82