Finding the Third Proportional to 111,723 and 242,205

Step by Step Solution

1. Step 1: Write the proportion equation
   111,723 : 242,205 = 242,205 : x
2. Step 2: Convert to fraction form
   111,723/242,205 = 242,205/x
3. Step 3: Cross multiply
   111,723x = 242,205 × 242,205
4. Step 4: Simplify right side
   111,723x = 58,663,262,025
5. Step 5: Solve for x
   x = 58,663,262,025/111,723
6. Step 6: Final answer
   x = 525,077.76