Finding the Third Proportional to 150,178 and 325,142

Step by Step Solution

1. Step 1: Write the proportion equation
   150,178 : 325,142 = 325,142 : x
2. Step 2: Convert to fraction form
   150,178/325,142 = 325,142/x
3. Step 3: Cross multiply
   150,178x = 325,142 × 325,142
4. Step 4: Simplify right side
   150,178x = 105,717,320,164
5. Step 5: Solve for x
   x = 105,717,320,164/150,178
6. Step 6: Final answer
   x = 703,946.78