Finding the Third Proportional to 211,968 and 465,408

Step by Step Solution

1. Step 1: Write the proportion equation
   211,968 : 465,408 = 465,408 : x
2. Step 2: Convert to fraction form
   211,968/465,408 = 465,408/x
3. Step 3: Cross multiply
   211,968x = 465,408 × 465,408
4. Step 4: Simplify right side
   211,968x = 216,604,606,464
5. Step 5: Solve for x
   x = 216,604,606,464/211,968
6. Step 6: Final answer
   x = 1,021,874.09