Finding the Third Proportional to 40,949 and 86,819

Step by Step Solution

1. Step 1: Write the proportion equation
   40,949 : 86,819 = 86,819 : x
2. Step 2: Convert to fraction form
   40,949/86,819 = 86,819/x
3. Step 3: Cross multiply
   40,949x = 86,819 × 86,819
4. Step 4: Simplify right side
   40,949x = 7,537,538,761
5. Step 5: Solve for x
   x = 7,537,538,761/40,949
6. Step 6: Final answer
   x = 184,071.38