Finding the Third Proportional to 142,448 and 206,328

Step by Step Solution

1. Step 1: Write the proportion equation
   142,448 : 206,328 = 206,328 : x
2. Step 2: Convert to fraction form
   142,448/206,328 = 206,328/x
3. Step 3: Cross multiply
   142,448x = 206,328 × 206,328
4. Step 4: Simplify right side
   142,448x = 42,571,243,584
5. Step 5: Solve for x
   x = 42,571,243,584/142,448
6. Step 6: Final answer
   x = 298,854.62