Finding the Third Proportional to 41,316 and 85,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,316 : 85,078.50 = 85,078.50 : x
2. Step 2: Convert to fraction form
   41,316/85,078.50 = 85,078.50/x
3. Step 3: Cross multiply
   41,316x = 85,078.50 × 85,078.50
4. Step 4: Simplify right side
   41,316x = 7,238,351,162.25
5. Step 5: Solve for x
   x = 7,238,351,162.25/41,316
6. Step 6: Final answer
   x = 175,194.87