Finding the Third Proportional to 155,002 and 233,643

Step by Step Solution

1. Step 1: Write the proportion equation
   155,002 : 233,643 = 233,643 : x
2. Step 2: Convert to fraction form
   155,002/233,643 = 233,643/x
3. Step 3: Cross multiply
   155,002x = 233,643 × 233,643
4. Step 4: Simplify right side
   155,002x = 54,589,051,449
5. Step 5: Solve for x
   x = 54,589,051,449/155,002
6. Step 6: Final answer
   x = 352,182.88