Finding the Third Proportional to 1,023,864 and 1,378,329

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023,864 : 1,378,329 = 1,378,329 : x
2. Step 2: Convert to fraction form
   1,023,864/1,378,329 = 1,378,329/x
3. Step 3: Cross multiply
   1,023,864x = 1,378,329 × 1,378,329
4. Step 4: Simplify right side
   1,023,864x = 1,899,790,832,241
5. Step 5: Solve for x
   x = 1,899,790,832,241/1,023,864
6. Step 6: Final answer
   x = 1,855,510.92