Finding the Third Proportional to 142,848 and 272,734

Step by Step Solution

1. Step 1: Write the proportion equation
   142,848 : 272,734 = 272,734 : x
2. Step 2: Convert to fraction form
   142,848/272,734 = 272,734/x
3. Step 3: Cross multiply
   142,848x = 272,734 × 272,734
4. Step 4: Simplify right side
   142,848x = 74,383,834,756
5. Step 5: Solve for x
   x = 74,383,834,756/142,848
6. Step 6: Final answer
   x = 520,720.17