Finding the Third Proportional to 111,080 and 238,576

Step by Step Solution

1. Step 1: Write the proportion equation
   111,080 : 238,576 = 238,576 : x
2. Step 2: Convert to fraction form
   111,080/238,576 = 238,576/x
3. Step 3: Cross multiply
   111,080x = 238,576 × 238,576
4. Step 4: Simplify right side
   111,080x = 56,918,507,776
5. Step 5: Solve for x
   x = 56,918,507,776/111,080
6. Step 6: Final answer
   x = 512,410.04