Finding the Third Proportional to 85,333 and 113,233

Step by Step Solution

1. Step 1: Write the proportion equation
   85,333 : 113,233 = 113,233 : x
2. Step 2: Convert to fraction form
   85,333/113,233 = 113,233/x
3. Step 3: Cross multiply
   85,333x = 113,233 × 113,233
4. Step 4: Simplify right side
   85,333x = 12,821,712,289
5. Step 5: Solve for x
   x = 12,821,712,289/85,333
6. Step 6: Final answer
   x = 150,255.03