Finding the Third Proportional to 40,649 and 86,948

Step by Step Solution

1. Step 1: Write the proportion equation
   40,649 : 86,948 = 86,948 : x
2. Step 2: Convert to fraction form
   40,649/86,948 = 86,948/x
3. Step 3: Cross multiply
   40,649x = 86,948 × 86,948
4. Step 4: Simplify right side
   40,649x = 7,559,954,704
5. Step 5: Solve for x
   x = 7,559,954,704/40,649
6. Step 6: Final answer
   x = 185,981.32