Finding the Third Proportional to 150,324 and 320,142

Step by Step Solution

1. Step 1: Write the proportion equation
   150,324 : 320,142 = 320,142 : x
2. Step 2: Convert to fraction form
   150,324/320,142 = 320,142/x
3. Step 3: Cross multiply
   150,324x = 320,142 × 320,142
4. Step 4: Simplify right side
   150,324x = 102,490,900,164
5. Step 5: Solve for x
   x = 102,490,900,164/150,324
6. Step 6: Final answer
   x = 681,799.98