Finding the Third Proportional to 428,625 and 646,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   428,625 : 646,825.50 = 646,825.50 : x
2. Step 2: Convert to fraction form
   428,625/646,825.50 = 646,825.50/x
3. Step 3: Cross multiply
   428,625x = 646,825.50 × 646,825.50
4. Step 4: Simplify right side
   428,625x = 418,383,227,450.25
5. Step 5: Solve for x
   x = 418,383,227,450.25/428,625
6. Step 6: Final answer
   x = 976,105.52