Finding the Third Proportional to 41,536 and 88,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,536 : 88,509.50 = 88,509.50 : x
2. Step 2: Convert to fraction form
   41,536/88,509.50 = 88,509.50/x
3. Step 3: Cross multiply
   41,536x = 88,509.50 × 88,509.50
4. Step 4: Simplify right side
   41,536x = 7,833,931,590.25
5. Step 5: Solve for x
   x = 7,833,931,590.25/41,536
6. Step 6: Final answer
   x = 188,605.83