Finding the Third Proportional to 50,152 and 107,864

Step by Step Solution

1. Step 1: Write the proportion equation
   50,152 : 107,864 = 107,864 : x
2. Step 2: Convert to fraction form
   50,152/107,864 = 107,864/x
3. Step 3: Cross multiply
   50,152x = 107,864 × 107,864
4. Step 4: Simplify right side
   50,152x = 11,634,642,496
5. Step 5: Solve for x
   x = 11,634,642,496/50,152
6. Step 6: Final answer
   x = 231,987.61