Finding the Third Proportional to 213,799 and 464,030

Step by Step Solution

1. Step 1: Write the proportion equation
   213,799 : 464,030 = 464,030 : x
2. Step 2: Convert to fraction form
   213,799/464,030 = 464,030/x
3. Step 3: Cross multiply
   213,799x = 464,030 × 464,030
4. Step 4: Simplify right side
   213,799x = 215,323,840,900
5. Step 5: Solve for x
   x = 215,323,840,900/213,799
6. Step 6: Final answer
   x = 1,007,132.12