Finding the Third Proportional to 213,046 and 464,228

Step by Step Solution

1. Step 1: Write the proportion equation
   213,046 : 464,228 = 464,228 : x
2. Step 2: Convert to fraction form
   213,046/464,228 = 464,228/x
3. Step 3: Cross multiply
   213,046x = 464,228 × 464,228
4. Step 4: Simplify right side
   213,046x = 215,507,635,984
5. Step 5: Solve for x
   x = 215,507,635,984/213,046
6. Step 6: Final answer
   x = 1,011,554.48