Finding the Third Proportional to 442,623 and 683,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   442,623 : 683,464.50 = 683,464.50 : x
2. Step 2: Convert to fraction form
   442,623/683,464.50 = 683,464.50/x
3. Step 3: Cross multiply
   442,623x = 683,464.50 × 683,464.50
4. Step 4: Simplify right side
   442,623x = 467,123,722,760.25
5. Step 5: Solve for x
   x = 467,123,722,760.25/442,623
6. Step 6: Final answer
   x = 1,055,353.48