Finding the Third Proportional to 103,694 and 140,707

Step by Step Solution

1. Step 1: Write the proportion equation
   103,694 : 140,707 = 140,707 : x
2. Step 2: Convert to fraction form
   103,694/140,707 = 140,707/x
3. Step 3: Cross multiply
   103,694x = 140,707 × 140,707
4. Step 4: Simplify right side
   103,694x = 19,798,459,849
5. Step 5: Solve for x
   x = 19,798,459,849/103,694
6. Step 6: Final answer
   x = 190,931.59