Finding the Third Proportional to 109,628 and 164,002

Step by Step Solution

1. Step 1: Write the proportion equation
   109,628 : 164,002 = 164,002 : x
2. Step 2: Convert to fraction form
   109,628/164,002 = 164,002/x
3. Step 3: Cross multiply
   109,628x = 164,002 × 164,002
4. Step 4: Simplify right side
   109,628x = 26,896,656,004
5. Step 5: Solve for x
   x = 26,896,656,004/109,628
6. Step 6: Final answer
   x = 245,344.77