Finding the Third Proportional to 414,155 and 627,470

Step by Step Solution

1. Step 1: Write the proportion equation
   414,155 : 627,470 = 627,470 : x
2. Step 2: Convert to fraction form
   414,155/627,470 = 627,470/x
3. Step 3: Cross multiply
   414,155x = 627,470 × 627,470
4. Step 4: Simplify right side
   414,155x = 393,718,600,900
5. Step 5: Solve for x
   x = 393,718,600,900/414,155
6. Step 6: Final answer
   x = 950,655.19