Finding the Third Proportional to 40,914 and 89,220

Step by Step Solution

1. Step 1: Write the proportion equation
   40,914 : 89,220 = 89,220 : x
2. Step 2: Convert to fraction form
   40,914/89,220 = 89,220/x
3. Step 3: Cross multiply
   40,914x = 89,220 × 89,220
4. Step 4: Simplify right side
   40,914x = 7,960,208,400
5. Step 5: Solve for x
   x = 7,960,208,400/40,914
6. Step 6: Final answer
   x = 194,559.52