Finding the Third Proportional to 40,928 and 85,492

Step by Step Solution

1. Step 1: Write the proportion equation
   40,928 : 85,492 = 85,492 : x
2. Step 2: Convert to fraction form
   40,928/85,492 = 85,492/x
3. Step 3: Cross multiply
   40,928x = 85,492 × 85,492
4. Step 4: Simplify right side
   40,928x = 7,308,882,064
5. Step 5: Solve for x
   x = 7,308,882,064/40,928
6. Step 6: Final answer
   x = 178,579.02