Finding the Third Proportional to 41,569 and 86,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,569 : 86,094.50 = 86,094.50 : x
2. Step 2: Convert to fraction form
   41,569/86,094.50 = 86,094.50/x
3. Step 3: Cross multiply
   41,569x = 86,094.50 × 86,094.50
4. Step 4: Simplify right side
   41,569x = 7,412,262,930.25
5. Step 5: Solve for x
   x = 7,412,262,930.25/41,569
6. Step 6: Final answer
   x = 178,312.27