Finding the Third Proportional to 414,153 and 627,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,153 : 627,466.50 = 627,466.50 : x
2. Step 2: Convert to fraction form
   414,153/627,466.50 = 627,466.50/x
3. Step 3: Cross multiply
   414,153x = 627,466.50 × 627,466.50
4. Step 4: Simplify right side
   414,153x = 393,714,208,622.25
5. Step 5: Solve for x
   x = 393,714,208,622.25/414,153
6. Step 6: Final answer
   x = 950,649.18