Finding the Third Proportional to 50,846 and 76,926

Step by Step Solution

1. Step 1: Write the proportion equation
   50,846 : 76,926 = 76,926 : x
2. Step 2: Convert to fraction form
   50,846/76,926 = 76,926/x
3. Step 3: Cross multiply
   50,846x = 76,926 × 76,926
4. Step 4: Simplify right side
   50,846x = 5,917,609,476
5. Step 5: Solve for x
   x = 5,917,609,476/50,846
6. Step 6: Final answer
   x = 116,382.99