Finding the Third Proportional to 262,700 and 416,042

Step by Step Solution

1. Step 1: Write the proportion equation
   262,700 : 416,042 = 416,042 : x
2. Step 2: Convert to fraction form
   262,700/416,042 = 416,042/x
3. Step 3: Cross multiply
   262,700x = 416,042 × 416,042
4. Step 4: Simplify right side
   262,700x = 173,090,945,764
5. Step 5: Solve for x
   x = 173,090,945,764/262,700
6. Step 6: Final answer
   x = 658,892.07