Finding the Third Proportional to 83,081 and 181,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,081 : 181,199.50 = 181,199.50 : x
2. Step 2: Convert to fraction form
   83,081/181,199.50 = 181,199.50/x
3. Step 3: Cross multiply
   83,081x = 181,199.50 × 181,199.50
4. Step 4: Simplify right side
   83,081x = 32,833,258,800.25
5. Step 5: Solve for x
   x = 32,833,258,800.25/83,081
6. Step 6: Final answer
   x = 395,195.76