Finding the Third Proportional to 50,404 and 109,646

Step by Step Solution

1. Step 1: Write the proportion equation
   50,404 : 109,646 = 109,646 : x
2. Step 2: Convert to fraction form
   50,404/109,646 = 109,646/x
3. Step 3: Cross multiply
   50,404x = 109,646 × 109,646
4. Step 4: Simplify right side
   50,404x = 12,022,245,316
5. Step 5: Solve for x
   x = 12,022,245,316/50,404
6. Step 6: Final answer
   x = 238,517.68