Finding the Third Proportional to 90,690 and 140,772

Step by Step Solution

1. Step 1: Write the proportion equation
   90,690 : 140,772 = 140,772 : x
2. Step 2: Convert to fraction form
   90,690/140,772 = 140,772/x
3. Step 3: Cross multiply
   90,690x = 140,772 × 140,772
4. Step 4: Simplify right side
   90,690x = 19,816,755,984
5. Step 5: Solve for x
   x = 19,816,755,984/90,690
6. Step 6: Final answer
   x = 218,510.93