Finding the Third Proportional to 50,352 and 109,692

Step by Step Solution

1. Step 1: Write the proportion equation
   50,352 : 109,692 = 109,692 : x
2. Step 2: Convert to fraction form
   50,352/109,692 = 109,692/x
3. Step 3: Cross multiply
   50,352x = 109,692 × 109,692
4. Step 4: Simplify right side
   50,352x = 12,032,334,864
5. Step 5: Solve for x
   x = 12,032,334,864/50,352
6. Step 6: Final answer
   x = 238,964.39