Finding the Third Proportional to 112,556 and 174,227

Step by Step Solution

1. Step 1: Write the proportion equation
   112,556 : 174,227 = 174,227 : x
2. Step 2: Convert to fraction form
   112,556/174,227 = 174,227/x
3. Step 3: Cross multiply
   112,556x = 174,227 × 174,227
4. Step 4: Simplify right side
   112,556x = 30,355,047,529
5. Step 5: Solve for x
   x = 30,355,047,529/112,556
6. Step 6: Final answer
   x = 269,688.40