Finding the Third Proportional to 142,848 and 272,735

Step by Step Solution

1. Step 1: Write the proportion equation
   142,848 : 272,735 = 272,735 : x
2. Step 2: Convert to fraction form
   142,848/272,735 = 272,735/x
3. Step 3: Cross multiply
   142,848x = 272,735 × 272,735
4. Step 4: Simplify right side
   142,848x = 74,384,380,225
5. Step 5: Solve for x
   x = 74,384,380,225/142,848
6. Step 6: Final answer
   x = 520,723.99