Finding the Third Proportional to 83,163 and 178,233

Step by Step Solution

1. Step 1: Write the proportion equation
   83,163 : 178,233 = 178,233 : x
2. Step 2: Convert to fraction form
   83,163/178,233 = 178,233/x
3. Step 3: Cross multiply
   83,163x = 178,233 × 178,233
4. Step 4: Simplify right side
   83,163x = 31,767,002,289
5. Step 5: Solve for x
   x = 31,767,002,289/83,163
6. Step 6: Final answer
   x = 381,984.80