Finding the Third Proportional to 41,214 and 84,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,214 : 84,385.50 = 84,385.50 : x
2. Step 2: Convert to fraction form
   41,214/84,385.50 = 84,385.50/x
3. Step 3: Cross multiply
   41,214x = 84,385.50 × 84,385.50
4. Step 4: Simplify right side
   41,214x = 7,120,912,610.25
5. Step 5: Solve for x
   x = 7,120,912,610.25/41,214
6. Step 6: Final answer
   x = 172,778.97