Finding the Third Proportional to 404,160 and 633,984

Step by Step Solution

1. Step 1: Write the proportion equation
   404,160 : 633,984 = 633,984 : x
2. Step 2: Convert to fraction form
   404,160/633,984 = 633,984/x
3. Step 3: Cross multiply
   404,160x = 633,984 × 633,984
4. Step 4: Simplify right side
   404,160x = 401,935,712,256
5. Step 5: Solve for x
   x = 401,935,712,256/404,160
6. Step 6: Final answer
   x = 994,496.52