Finding the Third Proportional to 142,856 and 213,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,856 : 213,582.50 = 213,582.50 : x
2. Step 2: Convert to fraction form
   142,856/213,582.50 = 213,582.50/x
3. Step 3: Cross multiply
   142,856x = 213,582.50 × 213,582.50
4. Step 4: Simplify right side
   142,856x = 45,617,484,306.25
5. Step 5: Solve for x
   x = 45,617,484,306.25/142,856
6. Step 6: Final answer
   x = 319,324.94