Finding the Third Proportional to 150,726 and 233,280

Step by Step Solution

1. Step 1: Write the proportion equation
   150,726 : 233,280 = 233,280 : x
2. Step 2: Convert to fraction form
   150,726/233,280 = 233,280/x
3. Step 3: Cross multiply
   150,726x = 233,280 × 233,280
4. Step 4: Simplify right side
   150,726x = 54,419,558,400
5. Step 5: Solve for x
   x = 54,419,558,400/150,726
6. Step 6: Final answer
   x = 361,049.58