Finding the Third Proportional to 86,778 and 137,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,778 : 137,524.50 = 137,524.50 : x
2. Step 2: Convert to fraction form
   86,778/137,524.50 = 137,524.50/x
3. Step 3: Cross multiply
   86,778x = 137,524.50 × 137,524.50
4. Step 4: Simplify right side
   86,778x = 18,912,988,100.25
5. Step 5: Solve for x
   x = 18,912,988,100.25/86,778
6. Step 6: Final answer
   x = 217,946.81