Finding the Third Proportional to 343,340 and 462,016

Step by Step Solution

1. Step 1: Write the proportion equation
   343,340 : 462,016 = 462,016 : x
2. Step 2: Convert to fraction form
   343,340/462,016 = 462,016/x
3. Step 3: Cross multiply
   343,340x = 462,016 × 462,016
4. Step 4: Simplify right side
   343,340x = 213,458,784,256
5. Step 5: Solve for x
   x = 213,458,784,256/343,340
6. Step 6: Final answer
   x = 621,712.54