Finding the Third Proportional to 119,928 and 264,003

Step by Step Solution

1. Step 1: Write the proportion equation
   119,928 : 264,003 = 264,003 : x
2. Step 2: Convert to fraction form
   119,928/264,003 = 264,003/x
3. Step 3: Cross multiply
   119,928x = 264,003 × 264,003
4. Step 4: Simplify right side
   119,928x = 69,697,584,009
5. Step 5: Solve for x
   x = 69,697,584,009/119,928
6. Step 6: Final answer
   x = 581,161.90