Finding the Third Proportional to 50,704 and 75,776

Step by Step Solution

1. Step 1: Write the proportion equation
   50,704 : 75,776 = 75,776 : x
2. Step 2: Convert to fraction form
   50,704/75,776 = 75,776/x
3. Step 3: Cross multiply
   50,704x = 75,776 × 75,776
4. Step 4: Simplify right side
   50,704x = 5,742,002,176
5. Step 5: Solve for x
   x = 5,742,002,176/50,704
6. Step 6: Final answer
   x = 113,245.55