Finding the Third Proportional to 96,694 and 140,834

Step by Step Solution

1. Step 1: Write the proportion equation
   96,694 : 140,834 = 140,834 : x
2. Step 2: Convert to fraction form
   96,694/140,834 = 140,834/x
3. Step 3: Cross multiply
   96,694x = 140,834 × 140,834
4. Step 4: Simplify right side
   96,694x = 19,834,215,556
5. Step 5: Solve for x
   x = 19,834,215,556/96,694
6. Step 6: Final answer
   x = 205,123.54