Finding the Third Proportional to 333,968 and 517,188

Step by Step Solution

1. Step 1: Write the proportion equation
   333,968 : 517,188 = 517,188 : x
2. Step 2: Convert to fraction form
   333,968/517,188 = 517,188/x
3. Step 3: Cross multiply
   333,968x = 517,188 × 517,188
4. Step 4: Simplify right side
   333,968x = 267,483,427,344
5. Step 5: Solve for x
   x = 267,483,427,344/333,968
6. Step 6: Final answer
   x = 800,925.32