Finding the Third Proportional to 642,414 and 1,383,492

Step by Step Solution

1. Step 1: Write the proportion equation
   642,414 : 1,383,492 = 1,383,492 : x
2. Step 2: Convert to fraction form
   642,414/1,383,492 = 1,383,492/x
3. Step 3: Cross multiply
   642,414x = 1,383,492 × 1,383,492
4. Step 4: Simplify right side
   642,414x = 1,914,050,114,064
5. Step 5: Solve for x
   x = 1,914,050,114,064/642,414
6. Step 6: Final answer
   x = 2,979,465.13