Finding the Third Proportional to 123,120 and 264,632

Step by Step Solution

1. Step 1: Write the proportion equation
   123,120 : 264,632 = 264,632 : x
2. Step 2: Convert to fraction form
   123,120/264,632 = 264,632/x
3. Step 3: Cross multiply
   123,120x = 264,632 × 264,632
4. Step 4: Simplify right side
   123,120x = 70,030,095,424
5. Step 5: Solve for x
   x = 70,030,095,424/123,120
6. Step 6: Final answer
   x = 568,795.45