Finding the Third Proportional to 211,758 and 465,498

Step by Step Solution

1. Step 1: Write the proportion equation
   211,758 : 465,498 = 465,498 : x
2. Step 2: Convert to fraction form
   211,758/465,498 = 465,498/x
3. Step 3: Cross multiply
   211,758x = 465,498 × 465,498
4. Step 4: Simplify right side
   211,758x = 216,688,388,004
5. Step 5: Solve for x
   x = 216,688,388,004/211,758
6. Step 6: Final answer
   x = 1,023,283.13