Finding the Third Proportional to 213,768 and 338,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,768 : 338,476.50 = 338,476.50 : x
2. Step 2: Convert to fraction form
   213,768/338,476.50 = 338,476.50/x
3. Step 3: Cross multiply
   213,768x = 338,476.50 × 338,476.50
4. Step 4: Simplify right side
   213,768x = 114,566,341,052.25
5. Step 5: Solve for x
   x = 114,566,341,052.25/213,768
6. Step 6: Final answer
   x = 535,937.75