Finding the Third Proportional to 119,349.50 and 260,002

Step by Step Solution

1. Step 1: Write the proportion equation
   119,349.50 : 260,002 = 260,002 : x
2. Step 2: Convert to fraction form
   119,349.50/260,002 = 260,002/x
3. Step 3: Cross multiply
   119,349.50x = 260,002 × 260,002
4. Step 4: Simplify right side
   119,349.50x = 67,601,040,004
5. Step 5: Solve for x
   x = 67,601,040,004/119,349.50
6. Step 6: Final answer
   x = 566,412.43