Finding the Third Proportional to 111,504 and 238,272

Step by Step Solution

1. Step 1: Write the proportion equation
   111,504 : 238,272 = 238,272 : x
2. Step 2: Convert to fraction form
   111,504/238,272 = 238,272/x
3. Step 3: Cross multiply
   111,504x = 238,272 × 238,272
4. Step 4: Simplify right side
   111,504x = 56,773,545,984
5. Step 5: Solve for x
   x = 56,773,545,984/111,504
6. Step 6: Final answer
   x = 509,161.52