Finding the Third Proportional to 213,144 and 466,896

Step by Step Solution

1. Step 1: Write the proportion equation
   213,144 : 466,896 = 466,896 : x
2. Step 2: Convert to fraction form
   213,144/466,896 = 466,896/x
3. Step 3: Cross multiply
   213,144x = 466,896 × 466,896
4. Step 4: Simplify right side
   213,144x = 217,991,874,816
5. Step 5: Solve for x
   x = 217,991,874,816/213,144
6. Step 6: Final answer
   x = 1,022,744.60