Finding the Third Proportional to 213,882 and 464,716

Step by Step Solution

1. Step 1: Write the proportion equation
   213,882 : 464,716 = 464,716 : x
2. Step 2: Convert to fraction form
   213,882/464,716 = 464,716/x
3. Step 3: Cross multiply
   213,882x = 464,716 × 464,716
4. Step 4: Simplify right side
   213,882x = 215,960,960,656
5. Step 5: Solve for x
   x = 215,960,960,656/213,882
6. Step 6: Final answer
   x = 1,009,720.13