Finding the Third Proportional to 43,978 and 89,492

Step by Step Solution

1. Step 1: Write the proportion equation
   43,978 : 89,492 = 89,492 : x
2. Step 2: Convert to fraction form
   43,978/89,492 = 89,492/x
3. Step 3: Cross multiply
   43,978x = 89,492 × 89,492
4. Step 4: Simplify right side
   43,978x = 8,008,818,064
5. Step 5: Solve for x
   x = 8,008,818,064/43,978
6. Step 6: Final answer
   x = 182,109.65