Finding the Third Proportional to 109,705 and 174,551

Step by Step Solution

1. Step 1: Write the proportion equation
   109,705 : 174,551 = 174,551 : x
2. Step 2: Convert to fraction form
   109,705/174,551 = 174,551/x
3. Step 3: Cross multiply
   109,705x = 174,551 × 174,551
4. Step 4: Simplify right side
   109,705x = 30,468,051,601
5. Step 5: Solve for x
   x = 30,468,051,601/109,705
6. Step 6: Final answer
   x = 277,727.10