Finding the Third Proportional to 418,097 and 631,061

Step by Step Solution

1. Step 1: Write the proportion equation
   418,097 : 631,061 = 631,061 : x
2. Step 2: Convert to fraction form
   418,097/631,061 = 631,061/x
3. Step 3: Cross multiply
   418,097x = 631,061 × 631,061
4. Step 4: Simplify right side
   418,097x = 398,237,985,721
5. Step 5: Solve for x
   x = 398,237,985,721/418,097
6. Step 6: Final answer
   x = 952,501.42