Finding the Third Proportional to 126,027 and 181,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,027 : 181,588.50 = 181,588.50 : x
2. Step 2: Convert to fraction form
   126,027/181,588.50 = 181,588.50/x
3. Step 3: Cross multiply
   126,027x = 181,588.50 × 181,588.50
4. Step 4: Simplify right side
   126,027x = 32,974,383,332.25
5. Step 5: Solve for x
   x = 32,974,383,332.25/126,027
6. Step 6: Final answer
   x = 261,645.39