Finding the Third Proportional to 50,896 and 76,902

Step by Step Solution

1. Step 1: Write the proportion equation
   50,896 : 76,902 = 76,902 : x
2. Step 2: Convert to fraction form
   50,896/76,902 = 76,902/x
3. Step 3: Cross multiply
   50,896x = 76,902 × 76,902
4. Step 4: Simplify right side
   50,896x = 5,913,917,604
5. Step 5: Solve for x
   x = 5,913,917,604/50,896
6. Step 6: Final answer
   x = 116,196.12