Finding the Third Proportional to 50,386 and 109,844

Step by Step Solution

1. Step 1: Write the proportion equation
   50,386 : 109,844 = 109,844 : x
2. Step 2: Convert to fraction form
   50,386/109,844 = 109,844/x
3. Step 3: Cross multiply
   50,386x = 109,844 × 109,844
4. Step 4: Simplify right side
   50,386x = 12,065,704,336
5. Step 5: Solve for x
   x = 12,065,704,336/50,386
6. Step 6: Final answer
   x = 239,465.41