Finding the Third Proportional to 41,089 and 85,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,089 : 85,336.50 = 85,336.50 : x
2. Step 2: Convert to fraction form
   41,089/85,336.50 = 85,336.50/x
3. Step 3: Cross multiply
   41,089x = 85,336.50 × 85,336.50
4. Step 4: Simplify right side
   41,089x = 7,282,318,232.25
5. Step 5: Solve for x
   x = 7,282,318,232.25/41,089
6. Step 6: Final answer
   x = 177,232.79