Finding the Third Proportional to 83,016 and 131,688

Step by Step Solution

1. Step 1: Write the proportion equation
   83,016 : 131,688 = 131,688 : x
2. Step 2: Convert to fraction form
   83,016/131,688 = 131,688/x
3. Step 3: Cross multiply
   83,016x = 131,688 × 131,688
4. Step 4: Simplify right side
   83,016x = 17,341,729,344
5. Step 5: Solve for x
   x = 17,341,729,344/83,016
6. Step 6: Final answer
   x = 208,896.23