Finding the Third Proportional to 112,558 and 178,233

Step by Step Solution

1. Step 1: Write the proportion equation
   112,558 : 178,233 = 178,233 : x
2. Step 2: Convert to fraction form
   112,558/178,233 = 178,233/x
3. Step 3: Cross multiply
   112,558x = 178,233 × 178,233
4. Step 4: Simplify right side
   112,558x = 31,767,002,289
5. Step 5: Solve for x
   x = 31,767,002,289/112,558
6. Step 6: Final answer
   x = 282,227.85