Finding the Third Proportional to 42,778 and 88,266

Step by Step Solution

1. Step 1: Write the proportion equation
   42,778 : 88,266 = 88,266 : x
2. Step 2: Convert to fraction form
   42,778/88,266 = 88,266/x
3. Step 3: Cross multiply
   42,778x = 88,266 × 88,266
4. Step 4: Simplify right side
   42,778x = 7,790,886,756
5. Step 5: Solve for x
   x = 7,790,886,756/42,778
6. Step 6: Final answer
   x = 182,123.68