Finding the Third Proportional to 213,136 and 466,880

Step by Step Solution

1. Step 1: Write the proportion equation
   213,136 : 466,880 = 466,880 : x
2. Step 2: Convert to fraction form
   213,136/466,880 = 466,880/x
3. Step 3: Cross multiply
   213,136x = 466,880 × 466,880
4. Step 4: Simplify right side
   213,136x = 217,976,934,400
5. Step 5: Solve for x
   x = 217,976,934,400/213,136
6. Step 6: Final answer
   x = 1,022,712.89