Finding the Third Proportional to 90,843 and 137,085

Step by Step Solution

1. Step 1: Write the proportion equation
   90,843 : 137,085 = 137,085 : x
2. Step 2: Convert to fraction form
   90,843/137,085 = 137,085/x
3. Step 3: Cross multiply
   90,843x = 137,085 × 137,085
4. Step 4: Simplify right side
   90,843x = 18,792,297,225
5. Step 5: Solve for x
   x = 18,792,297,225/90,843
6. Step 6: Final answer
   x = 206,865.66