Finding the Third Proportional to 213,759 and 338,463.75

Step by Step Solution

1. Step 1: Write the proportion equation
   213,759 : 338,463.75 = 338,463.75 : x
2. Step 2: Convert to fraction form
   213,759/338,463.75 = 338,463.75/x
3. Step 3: Cross multiply
   213,759x = 338,463.75 × 338,463.75
4. Step 4: Simplify right side
   213,759x = 114,557,710,064.06
5. Step 5: Solve for x
   x = 114,557,710,064.06/213,759
6. Step 6: Final answer
   x = 535,919.94