Finding the Third Proportional to 142,843.50 and 272,727

Step by Step Solution

1. Step 1: Write the proportion equation
   142,843.50 : 272,727 = 272,727 : x
2. Step 2: Convert to fraction form
   142,843.50/272,727 = 272,727/x
3. Step 3: Cross multiply
   142,843.50x = 272,727 × 272,727
4. Step 4: Simplify right side
   142,843.50x = 74,380,016,529
5. Step 5: Solve for x
   x = 74,380,016,529/142,843.50
6. Step 6: Final answer
   x = 520,709.84