Finding the Third Proportional to 148,728 and 212,016

Step by Step Solution

1. Step 1: Write the proportion equation
   148,728 : 212,016 = 212,016 : x
2. Step 2: Convert to fraction form
   148,728/212,016 = 212,016/x
3. Step 3: Cross multiply
   148,728x = 212,016 × 212,016
4. Step 4: Simplify right side
   148,728x = 44,950,784,256
5. Step 5: Solve for x
   x = 44,950,784,256/148,728
6. Step 6: Final answer
   x = 302,234.85