Finding the Third Proportional to 334,238 and 517,789

Step by Step Solution

1. Step 1: Write the proportion equation
   334,238 : 517,789 = 517,789 : x
2. Step 2: Convert to fraction form
   334,238/517,789 = 517,789/x
3. Step 3: Cross multiply
   334,238x = 517,789 × 517,789
4. Step 4: Simplify right side
   334,238x = 268,105,448,521
5. Step 5: Solve for x
   x = 268,105,448,521/334,238
6. Step 6: Final answer
   x = 802,139.34