Finding the Third Proportional to 142,383 and 206,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,383 : 206,230.50 = 206,230.50 : x
2. Step 2: Convert to fraction form
   142,383/206,230.50 = 206,230.50/x
3. Step 3: Cross multiply
   142,383x = 206,230.50 × 206,230.50
4. Step 4: Simplify right side
   142,383x = 42,531,019,130.25
5. Step 5: Solve for x
   x = 42,531,019,130.25/142,383
6. Step 6: Final answer
   x = 298,708.55