Finding the Third Proportional to 41,577.75 and 86,109.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,577.75 : 86,109.75 = 86,109.75 : x
2. Step 2: Convert to fraction form
   41,577.75/86,109.75 = 86,109.75/x
3. Step 3: Cross multiply
   41,577.75x = 86,109.75 × 86,109.75
4. Step 4: Simplify right side
   41,577.75x = 7,414,889,045.06
5. Step 5: Solve for x
   x = 7,414,889,045.06/41,577.75
6. Step 6: Final answer
   x = 178,337.91