Finding the Third Proportional to 122,646 and 264,978

Step by Step Solution

1. Step 1: Write the proportion equation
   122,646 : 264,978 = 264,978 : x
2. Step 2: Convert to fraction form
   122,646/264,978 = 264,978/x
3. Step 3: Cross multiply
   122,646x = 264,978 × 264,978
4. Step 4: Simplify right side
   122,646x = 70,213,340,484
5. Step 5: Solve for x
   x = 70,213,340,484/122,646
6. Step 6: Final answer
   x = 572,487.81