Finding the Third Proportional to 110,384 and 174,864

Step by Step Solution

1. Step 1: Write the proportion equation
   110,384 : 174,864 = 174,864 : x
2. Step 2: Convert to fraction form
   110,384/174,864 = 174,864/x
3. Step 3: Cross multiply
   110,384x = 174,864 × 174,864
4. Step 4: Simplify right side
   110,384x = 30,577,418,496
5. Step 5: Solve for x
   x = 30,577,418,496/110,384
6. Step 6: Final answer
   x = 277,009.52