Finding the Third Proportional to 120,166.50 and 181,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,166.50 : 181,171.50 = 181,171.50 : x
2. Step 2: Convert to fraction form
   120,166.50/181,171.50 = 181,171.50/x
3. Step 3: Cross multiply
   120,166.50x = 181,171.50 × 181,171.50
4. Step 4: Simplify right side
   120,166.50x = 32,823,112,412.25
5. Step 5: Solve for x
   x = 32,823,112,412.25/120,166.50
6. Step 6: Final answer
   x = 273,146.95