Finding the Third Proportional to 213,424 and 466,208

Step by Step Solution

1. Step 1: Write the proportion equation
   213,424 : 466,208 = 466,208 : x
2. Step 2: Convert to fraction form
   213,424/466,208 = 466,208/x
3. Step 3: Cross multiply
   213,424x = 466,208 × 466,208
4. Step 4: Simplify right side
   213,424x = 217,349,899,264
5. Step 5: Solve for x
   x = 217,349,899,264/213,424
6. Step 6: Final answer
   x = 1,018,394.83