Finding the Third Proportional to 213,052 and 464,238

Step by Step Solution

1. Step 1: Write the proportion equation
   213,052 : 464,238 = 464,238 : x
2. Step 2: Convert to fraction form
   213,052/464,238 = 464,238/x
3. Step 3: Cross multiply
   213,052x = 464,238 × 464,238
4. Step 4: Simplify right side
   213,052x = 215,516,920,644
5. Step 5: Solve for x
   x = 215,516,920,644/213,052
6. Step 6: Final answer
   x = 1,011,569.57