Finding the Third Proportional to 213,705 and 338,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,705 : 338,395.50 = 338,395.50 : x
2. Step 2: Convert to fraction form
   213,705/338,395.50 = 338,395.50/x
3. Step 3: Cross multiply
   213,705x = 338,395.50 × 338,395.50
4. Step 4: Simplify right side
   213,705x = 114,511,514,420.25
5. Step 5: Solve for x
   x = 114,511,514,420.25/213,705
6. Step 6: Final answer
   x = 535,839.19