Finding the Third Proportional to 217,814 and 462,064

Step by Step Solution

1. Step 1: Write the proportion equation
   217,814 : 462,064 = 462,064 : x
2. Step 2: Convert to fraction form
   217,814/462,064 = 462,064/x
3. Step 3: Cross multiply
   217,814x = 462,064 × 462,064
4. Step 4: Simplify right side
   217,814x = 213,503,140,096
5. Step 5: Solve for x
   x = 213,503,140,096/217,814
6. Step 6: Final answer
   x = 980,208.53