Finding the Third Proportional to 40,916 and 89,224

Step by Step Solution

1. Step 1: Write the proportion equation
   40,916 : 89,224 = 89,224 : x
2. Step 2: Convert to fraction form
   40,916/89,224 = 89,224/x
3. Step 3: Cross multiply
   40,916x = 89,224 × 89,224
4. Step 4: Simplify right side
   40,916x = 7,960,922,176
5. Step 5: Solve for x
   x = 7,960,922,176/40,916
6. Step 6: Final answer
   x = 194,567.46