Finding the Third Proportional to 111,564 and 240,624

Step by Step Solution

1. Step 1: Write the proportion equation
   111,564 : 240,624 = 240,624 : x
2. Step 2: Convert to fraction form
   111,564/240,624 = 240,624/x
3. Step 3: Cross multiply
   111,564x = 240,624 × 240,624
4. Step 4: Simplify right side
   111,564x = 57,899,909,376
5. Step 5: Solve for x
   x = 57,899,909,376/111,564
6. Step 6: Final answer
   x = 518,983.81