Finding the Third Proportional to 413,858 and 632,820

Step by Step Solution

1. Step 1: Write the proportion equation
   413,858 : 632,820 = 632,820 : x
2. Step 2: Convert to fraction form
   413,858/632,820 = 632,820/x
3. Step 3: Cross multiply
   413,858x = 632,820 × 632,820
4. Step 4: Simplify right side
   413,858x = 400,461,152,400
5. Step 5: Solve for x
   x = 400,461,152,400/413,858
6. Step 6: Final answer
   x = 967,629.36