Finding the Third Proportional to 142,243 and 208,105

Step by Step Solution

1. Step 1: Write the proportion equation
   142,243 : 208,105 = 208,105 : x
2. Step 2: Convert to fraction form
   142,243/208,105 = 208,105/x
3. Step 3: Cross multiply
   142,243x = 208,105 × 208,105
4. Step 4: Simplify right side
   142,243x = 43,307,691,025
5. Step 5: Solve for x
   x = 43,307,691,025/142,243
6. Step 6: Final answer
   x = 304,462.72