Finding the Third Proportional to 41,434 and 90,224

Step by Step Solution

1. Step 1: Write the proportion equation
   41,434 : 90,224 = 90,224 : x
2. Step 2: Convert to fraction form
   41,434/90,224 = 90,224/x
3. Step 3: Cross multiply
   41,434x = 90,224 × 90,224
4. Step 4: Simplify right side
   41,434x = 8,140,370,176
5. Step 5: Solve for x
   x = 8,140,370,176/41,434
6. Step 6: Final answer
   x = 196,465.95