Finding the Third Proportional to 159,046 and 343,002

Step by Step Solution

1. Step 1: Write the proportion equation
   159,046 : 343,002 = 343,002 : x
2. Step 2: Convert to fraction form
   159,046/343,002 = 343,002/x
3. Step 3: Cross multiply
   159,046x = 343,002 × 343,002
4. Step 4: Simplify right side
   159,046x = 117,650,372,004
5. Step 5: Solve for x
   x = 117,650,372,004/159,046
6. Step 6: Final answer
   x = 739,725.44