Finding the Third Proportional to 83,079.50 and 181,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,079.50 : 181,196.50 = 181,196.50 : x
2. Step 2: Convert to fraction form
   83,079.50/181,196.50 = 181,196.50/x
3. Step 3: Cross multiply
   83,079.50x = 181,196.50 × 181,196.50
4. Step 4: Simplify right side
   83,079.50x = 32,832,171,612.25
5. Step 5: Solve for x
   x = 32,832,171,612.25/83,079.50
6. Step 6: Final answer
   x = 395,189.81