Finding the Third Proportional to 478,424 and 1,006,416

Step by Step Solution

1. Step 1: Write the proportion equation
   478,424 : 1,006,416 = 1,006,416 : x
2. Step 2: Convert to fraction form
   478,424/1,006,416 = 1,006,416/x
3. Step 3: Cross multiply
   478,424x = 1,006,416 × 1,006,416
4. Step 4: Simplify right side
   478,424x = 1,012,873,165,056
5. Step 5: Solve for x
   x = 1,012,873,165,056/478,424
6. Step 6: Final answer
   x = 2,117,103.58