Finding the Third Proportional to 409,820 and 632,906

Step by Step Solution

1. Step 1: Write the proportion equation
   409,820 : 632,906 = 632,906 : x
2. Step 2: Convert to fraction form
   409,820/632,906 = 632,906/x
3. Step 3: Cross multiply
   409,820x = 632,906 × 632,906
4. Step 4: Simplify right side
   409,820x = 400,570,004,836
5. Step 5: Solve for x
   x = 400,570,004,836/409,820
6. Step 6: Final answer
   x = 977,429.13