Finding the Third Proportional to 70,586 and 151,404

Step by Step Solution

1. Step 1: Write the proportion equation
   70,586 : 151,404 = 151,404 : x
2. Step 2: Convert to fraction form
   70,586/151,404 = 151,404/x
3. Step 3: Cross multiply
   70,586x = 151,404 × 151,404
4. Step 4: Simplify right side
   70,586x = 22,923,171,216
5. Step 5: Solve for x
   x = 22,923,171,216/70,586
6. Step 6: Final answer
   x = 324,755.21