Finding the Third Proportional to 123,559 and 188,002

Step by Step Solution

1. Step 1: Write the proportion equation
   123,559 : 188,002 = 188,002 : x
2. Step 2: Convert to fraction form
   123,559/188,002 = 188,002/x
3. Step 3: Cross multiply
   123,559x = 188,002 × 188,002
4. Step 4: Simplify right side
   123,559x = 35,344,752,004
5. Step 5: Solve for x
   x = 35,344,752,004/123,559
6. Step 6: Final answer
   x = 286,055.67