Finding the Third Proportional to 126,132 and 189,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,132 : 189,727.50 = 189,727.50 : x
2. Step 2: Convert to fraction form
   126,132/189,727.50 = 189,727.50/x
3. Step 3: Cross multiply
   126,132x = 189,727.50 × 189,727.50
4. Step 4: Simplify right side
   126,132x = 35,996,524,256.25
5. Step 5: Solve for x
   x = 35,996,524,256.25/126,132
6. Step 6: Final answer
   x = 285,387.72