Finding the Third Proportional to 109,742 and 164,558

Step by Step Solution

1. Step 1: Write the proportion equation
   109,742 : 164,558 = 164,558 : x
2. Step 2: Convert to fraction form
   109,742/164,558 = 164,558/x
3. Step 3: Cross multiply
   109,742x = 164,558 × 164,558
4. Step 4: Simplify right side
   109,742x = 27,079,335,364
5. Step 5: Solve for x
   x = 27,079,335,364/109,742
6. Step 6: Final answer
   x = 246,754.53