Finding the Third Proportional to 41,206 and 84,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,206 : 84,369.50 = 84,369.50 : x
2. Step 2: Convert to fraction form
   41,206/84,369.50 = 84,369.50/x
3. Step 3: Cross multiply
   41,206x = 84,369.50 × 84,369.50
4. Step 4: Simplify right side
   41,206x = 7,118,212,530.25
5. Step 5: Solve for x
   x = 7,118,212,530.25/41,206
6. Step 6: Final answer
   x = 172,746.99