Finding the Third Proportional to 79,600 and 141,566

Step by Step Solution

1. Step 1: Write the proportion equation
   79,600 : 141,566 = 141,566 : x
2. Step 2: Convert to fraction form
   79,600/141,566 = 141,566/x
3. Step 3: Cross multiply
   79,600x = 141,566 × 141,566
4. Step 4: Simplify right side
   79,600x = 20,040,932,356
5. Step 5: Solve for x
   x = 20,040,932,356/79,600
6. Step 6: Final answer
   x = 251,770.51