Finding the Third Proportional to 72,357 and 150,258

Step by Step Solution

1. Step 1: Write the proportion equation
   72,357 : 150,258 = 150,258 : x
2. Step 2: Convert to fraction form
   72,357/150,258 = 150,258/x
3. Step 3: Cross multiply
   72,357x = 150,258 × 150,258
4. Step 4: Simplify right side
   72,357x = 22,577,466,564
5. Step 5: Solve for x
   x = 22,577,466,564/72,357
6. Step 6: Final answer
   x = 312,028.78