Finding the Third Proportional to 83,727 and 131,328

Step by Step Solution

1. Step 1: Write the proportion equation
   83,727 : 131,328 = 131,328 : x
2. Step 2: Convert to fraction form
   83,727/131,328 = 131,328/x
3. Step 3: Cross multiply
   83,727x = 131,328 × 131,328
4. Step 4: Simplify right side
   83,727x = 17,247,043,584
5. Step 5: Solve for x
   x = 17,247,043,584/83,727
6. Step 6: Final answer
   x = 205,991.42