Finding the Third Proportional to 333,896 and 517,046

Step by Step Solution

1. Step 1: Write the proportion equation
   333,896 : 517,046 = 517,046 : x
2. Step 2: Convert to fraction form
   333,896/517,046 = 517,046/x
3. Step 3: Cross multiply
   333,896x = 517,046 × 517,046
4. Step 4: Simplify right side
   333,896x = 267,336,566,116
5. Step 5: Solve for x
   x = 267,336,566,116/333,896
6. Step 6: Final answer
   x = 800,658.19