Finding the Third Proportional to 41,777.50 and 90,212.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,777.50 : 90,212.75 = 90,212.75 : x
2. Step 2: Convert to fraction form
   41,777.50/90,212.75 = 90,212.75/x
3. Step 3: Cross multiply
   41,777.50x = 90,212.75 × 90,212.75
4. Step 4: Simplify right side
   41,777.50x = 8,138,340,262.56
5. Step 5: Solve for x
   x = 8,138,340,262.56/41,777.50
6. Step 6: Final answer
   x = 194,801.99