Finding the Third Proportional to 83,091 and 181,221

Step by Step Solution

1. Step 1: Write the proportion equation
   83,091 : 181,221 = 181,221 : x
2. Step 2: Convert to fraction form
   83,091/181,221 = 181,221/x
3. Step 3: Cross multiply
   83,091x = 181,221 × 181,221
4. Step 4: Simplify right side
   83,091x = 32,841,050,841
5. Step 5: Solve for x
   x = 32,841,050,841/83,091
6. Step 6: Final answer
   x = 395,241.97