Finding the Third Proportional to 41,215.50 and 84,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,215.50 : 84,388.50 = 84,388.50 : x
2. Step 2: Convert to fraction form
   41,215.50/84,388.50 = 84,388.50/x
3. Step 3: Cross multiply
   41,215.50x = 84,388.50 × 84,388.50
4. Step 4: Simplify right side
   41,215.50x = 7,121,418,932.25
5. Step 5: Solve for x
   x = 7,121,418,932.25/41,215.50
6. Step 6: Final answer
   x = 172,784.97