Finding the Third Proportional to 213,880 and 464,188

Step by Step Solution

1. Step 1: Write the proportion equation
   213,880 : 464,188 = 464,188 : x
2. Step 2: Convert to fraction form
   213,880/464,188 = 464,188/x
3. Step 3: Cross multiply
   213,880x = 464,188 × 464,188
4. Step 4: Simplify right side
   213,880x = 215,470,499,344
5. Step 5: Solve for x
   x = 215,470,499,344/213,880
6. Step 6: Final answer
   x = 1,007,436.41