Finding the Third Proportional to 262,692 and 416,030

Step by Step Solution

1. Step 1: Write the proportion equation
   262,692 : 416,030 = 416,030 : x
2. Step 2: Convert to fraction form
   262,692/416,030 = 416,030/x
3. Step 3: Cross multiply
   262,692x = 416,030 × 416,030
4. Step 4: Simplify right side
   262,692x = 173,080,960,900
5. Step 5: Solve for x
   x = 173,080,960,900/262,692
6. Step 6: Final answer
   x = 658,874.12