Finding the Third Proportional to 41,223 and 88,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,223 : 88,282.50 = 88,282.50 : x
2. Step 2: Convert to fraction form
   41,223/88,282.50 = 88,282.50/x
3. Step 3: Cross multiply
   41,223x = 88,282.50 × 88,282.50
4. Step 4: Simplify right side
   41,223x = 7,793,799,806.25
5. Step 5: Solve for x
   x = 7,793,799,806.25/41,223
6. Step 6: Final answer
   x = 189,064.35