Finding the Third Proportional to 181,211 and 261,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,211 : 261,016.50 = 261,016.50 : x
2. Step 2: Convert to fraction form
   181,211/261,016.50 = 261,016.50/x
3. Step 3: Cross multiply
   181,211x = 261,016.50 × 261,016.50
4. Step 4: Simplify right side
   181,211x = 68,129,613,272.25
5. Step 5: Solve for x
   x = 68,129,613,272.25/181,211
6. Step 6: Final answer
   x = 375,968.42