Finding the Third Proportional to 150,726 and 233,279.25

Step by Step Solution

1. Step 1: Write the proportion equation
   150,726 : 233,279.25 = 233,279.25 : x
2. Step 2: Convert to fraction form
   150,726/233,279.25 = 233,279.25/x
3. Step 3: Cross multiply
   150,726x = 233,279.25 × 233,279.25
4. Step 4: Simplify right side
   150,726x = 54,419,208,480.56
5. Step 5: Solve for x
   x = 54,419,208,480.56/150,726
6. Step 6: Final answer
   x = 361,047.25