Finding the Third Proportional to 41,722.50 and 90,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,722.50 : 90,523.50 = 90,523.50 : x
2. Step 2: Convert to fraction form
   41,722.50/90,523.50 = 90,523.50/x
3. Step 3: Cross multiply
   41,722.50x = 90,523.50 × 90,523.50
4. Step 4: Simplify right side
   41,722.50x = 8,194,504,052.25
5. Step 5: Solve for x
   x = 8,194,504,052.25/41,722.50
6. Step 6: Final answer
   x = 196,404.91