Finding the Third Proportional to 334,713 and 468,162

Step by Step Solution

1. Step 1: Write the proportion equation
   334,713 : 468,162 = 468,162 : x
2. Step 2: Convert to fraction form
   334,713/468,162 = 468,162/x
3. Step 3: Cross multiply
   334,713x = 468,162 × 468,162
4. Step 4: Simplify right side
   334,713x = 219,175,658,244
5. Step 5: Solve for x
   x = 219,175,658,244/334,713
6. Step 6: Final answer
   x = 654,816.69