Finding the Third Proportional to 413,760 and 632,670

Step by Step Solution

1. Step 1: Write the proportion equation
   413,760 : 632,670 = 632,670 : x
2. Step 2: Convert to fraction form
   413,760/632,670 = 632,670/x
3. Step 3: Cross multiply
   413,760x = 632,670 × 632,670
4. Step 4: Simplify right side
   413,760x = 400,271,328,900
5. Step 5: Solve for x
   x = 400,271,328,900/413,760
6. Step 6: Final answer
   x = 967,399.77