Finding the Third Proportional to 213,264 and 466,704

Step by Step Solution

1. Step 1: Write the proportion equation
   213,264 : 466,704 = 466,704 : x
2. Step 2: Convert to fraction form
   213,264/466,704 = 466,704/x
3. Step 3: Cross multiply
   213,264x = 466,704 × 466,704
4. Step 4: Simplify right side
   213,264x = 217,812,623,616
5. Step 5: Solve for x
   x = 217,812,623,616/213,264
6. Step 6: Final answer
   x = 1,021,328.60