Finding the Third Proportional to 111,084 and 238,584

Step by Step Solution

1. Step 1: Write the proportion equation
   111,084 : 238,584 = 238,584 : x
2. Step 2: Convert to fraction form
   111,084/238,584 = 238,584/x
3. Step 3: Cross multiply
   111,084x = 238,584 × 238,584
4. Step 4: Simplify right side
   111,084x = 56,922,325,056
5. Step 5: Solve for x
   x = 56,922,325,056/111,084
6. Step 6: Final answer
   x = 512,425.96