Finding the Third Proportional to 416,126.50 and 628,564

Step by Step Solution

1. Step 1: Write the proportion equation
   416,126.50 : 628,564 = 628,564 : x
2. Step 2: Convert to fraction form
   416,126.50/628,564 = 628,564/x
3. Step 3: Cross multiply
   416,126.50x = 628,564 × 628,564
4. Step 4: Simplify right side
   416,126.50x = 395,092,702,096
5. Step 5: Solve for x
   x = 395,092,702,096/416,126.50
6. Step 6: Final answer
   x = 949,453.36