Finding the Third Proportional to 643,442 and 1,413,784

Step by Step Solution

1. Step 1: Write the proportion equation
   643,442 : 1,413,784 = 1,413,784 : x
2. Step 2: Convert to fraction form
   643,442/1,413,784 = 1,413,784/x
3. Step 3: Cross multiply
   643,442x = 1,413,784 × 1,413,784
4. Step 4: Simplify right side
   643,442x = 1,998,785,198,656
5. Step 5: Solve for x
   x = 1,998,785,198,656/643,442
6. Step 6: Final answer
   x = 3,106,395.29