Finding the Third Proportional to 112,554 and 174,224

Step by Step Solution

1. Step 1: Write the proportion equation
   112,554 : 174,224 = 174,224 : x
2. Step 2: Convert to fraction form
   112,554/174,224 = 174,224/x
3. Step 3: Cross multiply
   112,554x = 174,224 × 174,224
4. Step 4: Simplify right side
   112,554x = 30,354,002,176
5. Step 5: Solve for x
   x = 30,354,002,176/112,554
6. Step 6: Final answer
   x = 269,683.90