Finding the Third Proportional to 638,838 and 1,407,302

Step by Step Solution

1. Step 1: Write the proportion equation
   638,838 : 1,407,302 = 1,407,302 : x
2. Step 2: Convert to fraction form
   638,838/1,407,302 = 1,407,302/x
3. Step 3: Cross multiply
   638,838x = 1,407,302 × 1,407,302
4. Step 4: Simplify right side
   638,838x = 1,980,498,919,204
5. Step 5: Solve for x
   x = 1,980,498,919,204/638,838
6. Step 6: Final answer
   x = 3,100,158.29