Finding the Third Proportional to 267,210 and 414,099

Step by Step Solution

1. Step 1: Write the proportion equation
   267,210 : 414,099 = 414,099 : x
2. Step 2: Convert to fraction form
   267,210/414,099 = 414,099/x
3. Step 3: Cross multiply
   267,210x = 414,099 × 414,099
4. Step 4: Simplify right side
   267,210x = 171,477,981,801
5. Step 5: Solve for x
   x = 171,477,981,801/267,210
6. Step 6: Final answer
   x = 641,734.90