Finding the Third Proportional to 65,022 and 100,233

Step by Step Solution

1. Step 1: Write the proportion equation
   65,022 : 100,233 = 100,233 : x
2. Step 2: Convert to fraction form
   65,022/100,233 = 100,233/x
3. Step 3: Cross multiply
   65,022x = 100,233 × 100,233
4. Step 4: Simplify right side
   65,022x = 10,046,654,289
5. Step 5: Solve for x
   x = 10,046,654,289/65,022
6. Step 6: Final answer
   x = 154,511.62