Finding the Third Proportional to 413,196 and 631,667

Step by Step Solution

1. Step 1: Write the proportion equation
   413,196 : 631,667 = 631,667 : x
2. Step 2: Convert to fraction form
   413,196/631,667 = 631,667/x
3. Step 3: Cross multiply
   413,196x = 631,667 × 631,667
4. Step 4: Simplify right side
   413,196x = 399,003,198,889
5. Step 5: Solve for x
   x = 399,003,198,889/413,196
6. Step 6: Final answer
   x = 965,651.17