Finding the Third Proportional to 71,081 and 152,004

Step by Step Solution

1. Step 1: Write the proportion equation
   71,081 : 152,004 = 152,004 : x
2. Step 2: Convert to fraction form
   71,081/152,004 = 152,004/x
3. Step 3: Cross multiply
   71,081x = 152,004 × 152,004
4. Step 4: Simplify right side
   71,081x = 23,105,216,016
5. Step 5: Solve for x
   x = 23,105,216,016/71,081
6. Step 6: Final answer
   x = 325,054.74