Finding the Third Proportional to 123,211 and 264,830

Step by Step Solution

1. Step 1: Write the proportion equation
   123,211 : 264,830 = 264,830 : x
2. Step 2: Convert to fraction form
   123,211/264,830 = 264,830/x
3. Step 3: Cross multiply
   123,211x = 264,830 × 264,830
4. Step 4: Simplify right side
   123,211x = 70,134,928,900
5. Step 5: Solve for x
   x = 70,134,928,900/123,211
6. Step 6: Final answer
   x = 569,226.20