Finding the Third Proportional to 149,776.50 and 326,002

Step by Step Solution

1. Step 1: Write the proportion equation
   149,776.50 : 326,002 = 326,002 : x
2. Step 2: Convert to fraction form
   149,776.50/326,002 = 326,002/x
3. Step 3: Cross multiply
   149,776.50x = 326,002 × 326,002
4. Step 4: Simplify right side
   149,776.50x = 106,277,304,004
5. Step 5: Solve for x
   x = 106,277,304,004/149,776.50
6. Step 6: Final answer
   x = 709,572.62