Finding the Third Proportional to 142,320 and 206,128

Step by Step Solution

1. Step 1: Write the proportion equation
   142,320 : 206,128 = 206,128 : x
2. Step 2: Convert to fraction form
   142,320/206,128 = 206,128/x
3. Step 3: Cross multiply
   142,320x = 206,128 × 206,128
4. Step 4: Simplify right side
   142,320x = 42,488,752,384
5. Step 5: Solve for x
   x = 42,488,752,384/142,320
6. Step 6: Final answer
   x = 298,543.79