Finding the Third Proportional to 824,414 and 1,311,428

Step by Step Solution

1. Step 1: Write the proportion equation
   824,414 : 1,311,428 = 1,311,428 : x
2. Step 2: Convert to fraction form
   824,414/1,311,428 = 1,311,428/x
3. Step 3: Cross multiply
   824,414x = 1,311,428 × 1,311,428
4. Step 4: Simplify right side
   824,414x = 1,719,843,399,184
5. Step 5: Solve for x
   x = 1,719,843,399,184/824,414
6. Step 6: Final answer
   x = 2,086,140.46