Finding the Third Proportional to 216,404 and 466,096

Step by Step Solution

1. Step 1: Write the proportion equation
   216,404 : 466,096 = 466,096 : x
2. Step 2: Convert to fraction form
   216,404/466,096 = 466,096/x
3. Step 3: Cross multiply
   216,404x = 466,096 × 466,096
4. Step 4: Simplify right side
   216,404x = 217,245,481,216
5. Step 5: Solve for x
   x = 217,245,481,216/216,404
6. Step 6: Final answer
   x = 1,003,888.47