Finding the Third Proportional to 1,023,894 and 1,378,362

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023,894 : 1,378,362 = 1,378,362 : x
2. Step 2: Convert to fraction form
   1,023,894/1,378,362 = 1,378,362/x
3. Step 3: Cross multiply
   1,023,894x = 1,378,362 × 1,378,362
4. Step 4: Simplify right side
   1,023,894x = 1,899,881,803,044
5. Step 5: Solve for x
   x = 1,899,881,803,044/1,023,894
6. Step 6: Final answer
   x = 1,855,545.40