Finding the Third Proportional to 111,288 and 238,776

Step by Step Solution

1. Step 1: Write the proportion equation
   111,288 : 238,776 = 238,776 : x
2. Step 2: Convert to fraction form
   111,288/238,776 = 238,776/x
3. Step 3: Cross multiply
   111,288x = 238,776 × 238,776
4. Step 4: Simplify right side
   111,288x = 57,013,978,176
5. Step 5: Solve for x
   x = 57,013,978,176/111,288
6. Step 6: Final answer
   x = 512,310.21