Finding the Third Proportional to 150,942 and 204,264

Step by Step Solution

1. Step 1: Write the proportion equation
   150,942 : 204,264 = 204,264 : x
2. Step 2: Convert to fraction form
   150,942/204,264 = 204,264/x
3. Step 3: Cross multiply
   150,942x = 204,264 × 204,264
4. Step 4: Simplify right side
   150,942x = 41,723,781,696
5. Step 5: Solve for x
   x = 41,723,781,696/150,942
6. Step 6: Final answer
   x = 276,422.61