Finding the Third Proportional to 1,023,894 and 1,378,364

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023,894 : 1,378,364 = 1,378,364 : x
2. Step 2: Convert to fraction form
   1,023,894/1,378,364 = 1,378,364/x
3. Step 3: Cross multiply
   1,023,894x = 1,378,364 × 1,378,364
4. Step 4: Simplify right side
   1,023,894x = 1,899,887,316,496
5. Step 5: Solve for x
   x = 1,899,887,316,496/1,023,894
6. Step 6: Final answer
   x = 1,855,550.79