Finding the Third Proportional to 213,376 and 466,928

Step by Step Solution

1. Step 1: Write the proportion equation
   213,376 : 466,928 = 466,928 : x
2. Step 2: Convert to fraction form
   213,376/466,928 = 466,928/x
3. Step 3: Cross multiply
   213,376x = 466,928 × 466,928
4. Step 4: Simplify right side
   213,376x = 218,021,757,184
5. Step 5: Solve for x
   x = 218,021,757,184/213,376
6. Step 6: Final answer
   x = 1,021,772.63