Finding the Third Proportional to 142,281 and 206,077

Step by Step Solution

1. Step 1: Write the proportion equation
   142,281 : 206,077 = 206,077 : x
2. Step 2: Convert to fraction form
   142,281/206,077 = 206,077/x
3. Step 3: Cross multiply
   142,281x = 206,077 × 206,077
4. Step 4: Simplify right side
   142,281x = 42,467,729,929
5. Step 5: Solve for x
   x = 42,467,729,929/142,281
6. Step 6: Final answer
   x = 298,477.87