Finding the Third Proportional to 413,756 and 632,662

Step by Step Solution

1. Step 1: Write the proportion equation
   413,756 : 632,662 = 632,662 : x
2. Step 2: Convert to fraction form
   413,756/632,662 = 632,662/x
3. Step 3: Cross multiply
   413,756x = 632,662 × 632,662
4. Step 4: Simplify right side
   413,756x = 400,261,206,244
5. Step 5: Solve for x
   x = 400,261,206,244/413,756
6. Step 6: Final answer
   x = 967,384.66