Finding the Third Proportional to 126,225 and 189,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,225 : 189,661.50 = 189,661.50 : x
2. Step 2: Convert to fraction form
   126,225/189,661.50 = 189,661.50/x
3. Step 3: Cross multiply
   126,225x = 189,661.50 × 189,661.50
4. Step 4: Simplify right side
   126,225x = 35,971,484,582.25
5. Step 5: Solve for x
   x = 35,971,484,582.25/126,225
6. Step 6: Final answer
   x = 284,979.08