Finding the Third Proportional to 588,123 and 1,288,323

Step by Step Solution

1. Step 1: Write the proportion equation
   588,123 : 1,288,323 = 1,288,323 : x
2. Step 2: Convert to fraction form
   588,123/1,288,323 = 1,288,323/x
3. Step 3: Cross multiply
   588,123x = 1,288,323 × 1,288,323
4. Step 4: Simplify right side
   588,123x = 1,659,776,152,329
5. Step 5: Solve for x
   x = 1,659,776,152,329/588,123
6. Step 6: Final answer
   x = 2,822,158.21