Finding the Third Proportional to 110,238 and 174,786

Step by Step Solution

1. Step 1: Write the proportion equation
   110,238 : 174,786 = 174,786 : x
2. Step 2: Convert to fraction form
   110,238/174,786 = 174,786/x
3. Step 3: Cross multiply
   110,238x = 174,786 × 174,786
4. Step 4: Simplify right side
   110,238x = 30,550,145,796
5. Step 5: Solve for x
   x = 30,550,145,796/110,238
6. Step 6: Final answer
   x = 277,128.99