Finding the Third Proportional to 123,654 and 264,804

Step by Step Solution

1. Step 1: Write the proportion equation
   123,654 : 264,804 = 264,804 : x
2. Step 2: Convert to fraction form
   123,654/264,804 = 264,804/x
3. Step 3: Cross multiply
   123,654x = 264,804 × 264,804
4. Step 4: Simplify right side
   123,654x = 70,121,158,416
5. Step 5: Solve for x
   x = 70,121,158,416/123,654
6. Step 6: Final answer
   x = 567,075.54