Finding the Third Proportional to 126,144 and 189,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,144 : 189,742.50 = 189,742.50 : x
2. Step 2: Convert to fraction form
   126,144/189,742.50 = 189,742.50/x
3. Step 3: Cross multiply
   126,144x = 189,742.50 × 189,742.50
4. Step 4: Simplify right side
   126,144x = 36,002,216,306.25
5. Step 5: Solve for x
   x = 36,002,216,306.25/126,144
6. Step 6: Final answer
   x = 285,405.70