Finding the Third Proportional to 213,401 and 466,978

Step by Step Solution

1. Step 1: Write the proportion equation
   213,401 : 466,978 = 466,978 : x
2. Step 2: Convert to fraction form
   213,401/466,978 = 466,978/x
3. Step 3: Cross multiply
   213,401x = 466,978 × 466,978
4. Step 4: Simplify right side
   213,401x = 218,068,452,484
5. Step 5: Solve for x
   x = 218,068,452,484/213,401
6. Step 6: Final answer
   x = 1,021,871.75