Finding the Third Proportional to 213,376 and 465,152

Step by Step Solution

1. Step 1: Write the proportion equation
   213,376 : 465,152 = 465,152 : x
2. Step 2: Convert to fraction form
   213,376/465,152 = 465,152/x
3. Step 3: Cross multiply
   213,376x = 465,152 × 465,152
4. Step 4: Simplify right side
   213,376x = 216,366,383,104
5. Step 5: Solve for x
   x = 216,366,383,104/213,376
6. Step 6: Final answer
   x = 1,014,014.62