Finding the Third Proportional to 416,128.50 and 628,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,128.50 : 628,567.50 = 628,567.50 : x
2. Step 2: Convert to fraction form
   416,128.50/628,567.50 = 628,567.50/x
3. Step 3: Cross multiply
   416,128.50x = 628,567.50 × 628,567.50
4. Step 4: Simplify right side
   416,128.50x = 395,097,102,056.25
5. Step 5: Solve for x
   x = 395,097,102,056.25/416,128.50
6. Step 6: Final answer
   x = 949,459.37