Finding the Third Proportional to 40,922 and 89,654

Step by Step Solution

1. Step 1: Write the proportion equation
   40,922 : 89,654 = 89,654 : x
2. Step 2: Convert to fraction form
   40,922/89,654 = 89,654/x
3. Step 3: Cross multiply
   40,922x = 89,654 × 89,654
4. Step 4: Simplify right side
   40,922x = 8,037,839,716
5. Step 5: Solve for x
   x = 8,037,839,716/40,922
6. Step 6: Final answer
   x = 196,418.55