Finding the Third Proportional to 164,002 and 353,172

Step by Step Solution

1. Step 1: Write the proportion equation
   164,002 : 353,172 = 353,172 : x
2. Step 2: Convert to fraction form
   164,002/353,172 = 353,172/x
3. Step 3: Cross multiply
   164,002x = 353,172 × 353,172
4. Step 4: Simplify right side
   164,002x = 124,730,461,584
5. Step 5: Solve for x
   x = 124,730,461,584/164,002
6. Step 6: Final answer
   x = 760,542.32