Finding the Third Proportional to 211,822 and 465,624

Step by Step Solution

1. Step 1: Write the proportion equation
   211,822 : 465,624 = 465,624 : x
2. Step 2: Convert to fraction form
   211,822/465,624 = 465,624/x
3. Step 3: Cross multiply
   211,822x = 465,624 × 465,624
4. Step 4: Simplify right side
   211,822x = 216,805,709,376
5. Step 5: Solve for x
   x = 216,805,709,376/211,822
6. Step 6: Final answer
   x = 1,023,527.82