Finding the Third Proportional to 85,694 and 131,799

Step by Step Solution

1. Step 1: Write the proportion equation
   85,694 : 131,799 = 131,799 : x
2. Step 2: Convert to fraction form
   85,694/131,799 = 131,799/x
3. Step 3: Cross multiply
   85,694x = 131,799 × 131,799
4. Step 4: Simplify right side
   85,694x = 17,370,976,401
5. Step 5: Solve for x
   x = 17,370,976,401/85,694
6. Step 6: Final answer
   x = 202,709.37