Finding the Third Proportional to 213,422 and 464,428

Step by Step Solution

1. Step 1: Write the proportion equation
   213,422 : 464,428 = 464,428 : x
2. Step 2: Convert to fraction form
   213,422/464,428 = 464,428/x
3. Step 3: Cross multiply
   213,422x = 464,428 × 464,428
4. Step 4: Simplify right side
   213,422x = 215,693,367,184
5. Step 5: Solve for x
   x = 215,693,367,184/213,422
6. Step 6: Final answer
   x = 1,010,642.61