Finding the Third Proportional to 111,264 and 240,006

Step by Step Solution

1. Step 1: Write the proportion equation
   111,264 : 240,006 = 240,006 : x
2. Step 2: Convert to fraction form
   111,264/240,006 = 240,006/x
3. Step 3: Cross multiply
   111,264x = 240,006 × 240,006
4. Step 4: Simplify right side
   111,264x = 57,602,880,036
5. Step 5: Solve for x
   x = 57,602,880,036/111,264
6. Step 6: Final answer
   x = 517,713.55