Finding the Third Proportional to 213,836 and 464,098

Step by Step Solution

1. Step 1: Write the proportion equation
   213,836 : 464,098 = 464,098 : x
2. Step 2: Convert to fraction form
   213,836/464,098 = 464,098/x
3. Step 3: Cross multiply
   213,836x = 464,098 × 464,098
4. Step 4: Simplify right side
   213,836x = 215,386,953,604
5. Step 5: Solve for x
   x = 215,386,953,604/213,836
6. Step 6: Final answer
   x = 1,007,253.01