Finding the Third Proportional to 260,102 and 559,002

Step by Step Solution

1. Step 1: Write the proportion equation
   260,102 : 559,002 = 559,002 : x
2. Step 2: Convert to fraction form
   260,102/559,002 = 559,002/x
3. Step 3: Cross multiply
   260,102x = 559,002 × 559,002
4. Step 4: Simplify right side
   260,102x = 312,483,236,004
5. Step 5: Solve for x
   x = 312,483,236,004/260,102
6. Step 6: Final answer
   x = 1,201,387.29