Finding the Third Proportional to 41,880 and 91,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,880 : 91,288.50 = 91,288.50 : x
2. Step 2: Convert to fraction form
   41,880/91,288.50 = 91,288.50/x
3. Step 3: Cross multiply
   41,880x = 91,288.50 × 91,288.50
4. Step 4: Simplify right side
   41,880x = 8,333,590,232.25
5. Step 5: Solve for x
   x = 8,333,590,232.25/41,880
6. Step 6: Final answer
   x = 198,987.35