Finding the Third Proportional to 41,215 and 84,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,215 : 84,387.50 = 84,387.50 : x
2. Step 2: Convert to fraction form
   41,215/84,387.50 = 84,387.50/x
3. Step 3: Cross multiply
   41,215x = 84,387.50 × 84,387.50
4. Step 4: Simplify right side
   41,215x = 7,121,250,156.25
5. Step 5: Solve for x
   x = 7,121,250,156.25/41,215
6. Step 6: Final answer
   x = 172,782.97