Finding the Third Proportional to 41,727 and 86,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,727 : 86,905.50 = 86,905.50 : x
2. Step 2: Convert to fraction form
   41,727/86,905.50 = 86,905.50/x
3. Step 3: Cross multiply
   41,727x = 86,905.50 × 86,905.50
4. Step 4: Simplify right side
   41,727x = 7,552,565,930.25
5. Step 5: Solve for x
   x = 7,552,565,930.25/41,727
6. Step 6: Final answer
   x = 180,999.50