Finding the Third Proportional to 38,856 and 83,238

Step by Step Solution

1. Step 1: Write the proportion equation
   38,856 : 83,238 = 83,238 : x
2. Step 2: Convert to fraction form
   38,856/83,238 = 83,238/x
3. Step 3: Cross multiply
   38,856x = 83,238 × 83,238
4. Step 4: Simplify right side
   38,856x = 6,928,564,644
5. Step 5: Solve for x
   x = 6,928,564,644/38,856
6. Step 6: Final answer
   x = 178,313.89