Finding the Third Proportional to 111,776 and 242,605

Step by Step Solution

1. Step 1: Write the proportion equation
   111,776 : 242,605 = 242,605 : x
2. Step 2: Convert to fraction form
   111,776/242,605 = 242,605/x
3. Step 3: Cross multiply
   111,776x = 242,605 × 242,605
4. Step 4: Simplify right side
   111,776x = 58,857,186,025
5. Step 5: Solve for x
   x = 58,857,186,025/111,776
6. Step 6: Final answer
   x = 526,563.72