Finding the Third Proportional to 90,694 and 140,778

Step by Step Solution

1. Step 1: Write the proportion equation
   90,694 : 140,778 = 140,778 : x
2. Step 2: Convert to fraction form
   90,694/140,778 = 140,778/x
3. Step 3: Cross multiply
   90,694x = 140,778 × 140,778
4. Step 4: Simplify right side
   90,694x = 19,818,445,284
5. Step 5: Solve for x
   x = 19,818,445,284/90,694
6. Step 6: Final answer
   x = 218,519.92