Finding the Third Proportional to 123,354 and 264,222

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 264,222 = 264,222 : x
2. Step 2: Convert to fraction form
   123,354/264,222 = 264,222/x
3. Step 3: Cross multiply
   123,354x = 264,222 × 264,222
4. Step 4: Simplify right side
   123,354x = 69,813,265,284
5. Step 5: Solve for x
   x = 69,813,265,284/123,354
6. Step 6: Final answer
   x = 565,958.67