Finding the Third Proportional to 81,433 and 116,233

Step by Step Solution

1. Step 1: Write the proportion equation
   81,433 : 116,233 = 116,233 : x
2. Step 2: Convert to fraction form
   81,433/116,233 = 116,233/x
3. Step 3: Cross multiply
   81,433x = 116,233 × 116,233
4. Step 4: Simplify right side
   81,433x = 13,510,110,289
5. Step 5: Solve for x
   x = 13,510,110,289/81,433
6. Step 6: Final answer
   x = 165,904.61