Finding the Third Proportional to 90,696 and 140,780

Step by Step Solution

1. Step 1: Write the proportion equation
   90,696 : 140,780 = 140,780 : x
2. Step 2: Convert to fraction form
   90,696/140,780 = 140,780/x
3. Step 3: Cross multiply
   90,696x = 140,780 × 140,780
4. Step 4: Simplify right side
   90,696x = 19,819,008,400
5. Step 5: Solve for x
   x = 19,819,008,400/90,696
6. Step 6: Final answer
   x = 218,521.31