Finding the Third Proportional to 110,240 and 174,789

Step by Step Solution

1. Step 1: Write the proportion equation
   110,240 : 174,789 = 174,789 : x
2. Step 2: Convert to fraction form
   110,240/174,789 = 174,789/x
3. Step 3: Cross multiply
   110,240x = 174,789 × 174,789
4. Step 4: Simplify right side
   110,240x = 30,551,194,521
5. Step 5: Solve for x
   x = 30,551,194,521/110,240
6. Step 6: Final answer
   x = 277,133.48