Finding the Third Proportional to 142,472 and 205,328

Step by Step Solution

1. Step 1: Write the proportion equation
   142,472 : 205,328 = 205,328 : x
2. Step 2: Convert to fraction form
   142,472/205,328 = 205,328/x
3. Step 3: Cross multiply
   142,472x = 205,328 × 205,328
4. Step 4: Simplify right side
   142,472x = 42,159,587,584
5. Step 5: Solve for x
   x = 42,159,587,584/142,472
6. Step 6: Final answer
   x = 295,914.90