Finding the Third Proportional to 123,783 and 264,270

Step by Step Solution

1. Step 1: Write the proportion equation
   123,783 : 264,270 = 264,270 : x
2. Step 2: Convert to fraction form
   123,783/264,270 = 264,270/x
3. Step 3: Cross multiply
   123,783x = 264,270 × 264,270
4. Step 4: Simplify right side
   123,783x = 69,838,632,900
5. Step 5: Solve for x
   x = 69,838,632,900/123,783
6. Step 6: Final answer
   x = 564,202.14