Finding the Third Proportional to 142,382 and 206,228.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,382 : 206,228.50 = 206,228.50 : x
2. Step 2: Convert to fraction form
   142,382/206,228.50 = 206,228.50/x
3. Step 3: Cross multiply
   142,382x = 206,228.50 × 206,228.50
4. Step 4: Simplify right side
   142,382x = 42,530,194,212.25
5. Step 5: Solve for x
   x = 42,530,194,212.25/142,382
6. Step 6: Final answer
   x = 298,704.85