Finding the Third Proportional to 102,212 and 143,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,212 : 143,229.50 = 143,229.50 : x
2. Step 2: Convert to fraction form
   102,212/143,229.50 = 143,229.50/x
3. Step 3: Cross multiply
   102,212x = 143,229.50 × 143,229.50
4. Step 4: Simplify right side
   102,212x = 20,514,689,670.25
5. Step 5: Solve for x
   x = 20,514,689,670.25/102,212
6. Step 6: Final answer
   x = 200,707.25