Finding the Third Proportional to 50,756 and 76,138

Step by Step Solution

1. Step 1: Write the proportion equation
   50,756 : 76,138 = 76,138 : x
2. Step 2: Convert to fraction form
   50,756/76,138 = 76,138/x
3. Step 3: Cross multiply
   50,756x = 76,138 × 76,138
4. Step 4: Simplify right side
   50,756x = 5,796,995,044
5. Step 5: Solve for x
   x = 5,796,995,044/50,756
6. Step 6: Final answer
   x = 114,213.00