Finding the Third Proportional to 196,778 and 276,123

Step by Step Solution

1. Step 1: Write the proportion equation
   196,778 : 276,123 = 276,123 : x
2. Step 2: Convert to fraction form
   196,778/276,123 = 276,123/x
3. Step 3: Cross multiply
   196,778x = 276,123 × 276,123
4. Step 4: Simplify right side
   196,778x = 76,243,911,129
5. Step 5: Solve for x
   x = 76,243,911,129/196,778
6. Step 6: Final answer
   x = 387,461.56