Finding the Third Proportional to 413,625 and 663,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,625 : 663,628.50 = 663,628.50 : x
2. Step 2: Convert to fraction form
   413,625/663,628.50 = 663,628.50/x
3. Step 3: Cross multiply
   413,625x = 663,628.50 × 663,628.50
4. Step 4: Simplify right side
   413,625x = 440,402,786,012.25
5. Step 5: Solve for x
   x = 440,402,786,012.25/413,625
6. Step 6: Final answer
   x = 1,064,739.28