Finding the Third Proportional to 90,666 and 140,735

Step by Step Solution

1. Step 1: Write the proportion equation
   90,666 : 140,735 = 140,735 : x
2. Step 2: Convert to fraction form
   90,666/140,735 = 140,735/x
3. Step 3: Cross multiply
   90,666x = 140,735 × 140,735
4. Step 4: Simplify right side
   90,666x = 19,806,340,225
5. Step 5: Solve for x
   x = 19,806,340,225/90,666
6. Step 6: Final answer
   x = 218,453.89