Finding the Third Proportional to 50,344 and 109,574

Step by Step Solution

1. Step 1: Write the proportion equation
   50,344 : 109,574 = 109,574 : x
2. Step 2: Convert to fraction form
   50,344/109,574 = 109,574/x
3. Step 3: Cross multiply
   50,344x = 109,574 × 109,574
4. Step 4: Simplify right side
   50,344x = 12,006,461,476
5. Step 5: Solve for x
   x = 12,006,461,476/50,344
6. Step 6: Final answer
   x = 238,488.43