Finding the Third Proportional to 41,310 and 89,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,310 : 89,182.50 = 89,182.50 : x
2. Step 2: Convert to fraction form
   41,310/89,182.50 = 89,182.50/x
3. Step 3: Cross multiply
   41,310x = 89,182.50 × 89,182.50
4. Step 4: Simplify right side
   41,310x = 7,953,518,306.25
5. Step 5: Solve for x
   x = 7,953,518,306.25/41,310
6. Step 6: Final answer
   x = 192,532.52