Finding the Third Proportional to 41,370 and 89,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,370 : 89,299.50 = 89,299.50 : x
2. Step 2: Convert to fraction form
   41,370/89,299.50 = 89,299.50/x
3. Step 3: Cross multiply
   41,370x = 89,299.50 × 89,299.50
4. Step 4: Simplify right side
   41,370x = 7,974,400,700.25
5. Step 5: Solve for x
   x = 7,974,400,700.25/41,370
6. Step 6: Final answer
   x = 192,758.05