Finding the Third Proportional to 142,142 and 294,348

Step by Step Solution

1. Step 1: Write the proportion equation
   142,142 : 294,348 = 294,348 : x
2. Step 2: Convert to fraction form
   142,142/294,348 = 294,348/x
3. Step 3: Cross multiply
   142,142x = 294,348 × 294,348
4. Step 4: Simplify right side
   142,142x = 86,640,745,104
5. Step 5: Solve for x
   x = 86,640,745,104/142,142
6. Step 6: Final answer
   x = 609,536.56