Finding the Third Proportional to 52,132 and 107,834

Step by Step Solution

1. Step 1: Write the proportion equation
   52,132 : 107,834 = 107,834 : x
2. Step 2: Convert to fraction form
   52,132/107,834 = 107,834/x
3. Step 3: Cross multiply
   52,132x = 107,834 × 107,834
4. Step 4: Simplify right side
   52,132x = 11,628,171,556
5. Step 5: Solve for x
   x = 11,628,171,556/52,132
6. Step 6: Final answer
   x = 223,052.47