Finding the Third Proportional to 213,624 and 462,312

Step by Step Solution

1. Step 1: Write the proportion equation
   213,624 : 462,312 = 462,312 : x
2. Step 2: Convert to fraction form
   213,624/462,312 = 462,312/x
3. Step 3: Cross multiply
   213,624x = 462,312 × 462,312
4. Step 4: Simplify right side
   213,624x = 213,732,385,344
5. Step 5: Solve for x
   x = 213,732,385,344/213,624
6. Step 6: Final answer
   x = 1,000,507.37