Finding the Third Proportional to 90,688 and 140,768

Step by Step Solution

1. Step 1: Write the proportion equation
   90,688 : 140,768 = 140,768 : x
2. Step 2: Convert to fraction form
   90,688/140,768 = 140,768/x
3. Step 3: Cross multiply
   90,688x = 140,768 × 140,768
4. Step 4: Simplify right side
   90,688x = 19,815,629,824
5. Step 5: Solve for x
   x = 19,815,629,824/90,688
6. Step 6: Final answer
   x = 218,503.33