Finding the Third Proportional to 150,722 and 233,168

Step by Step Solution

1. Step 1: Write the proportion equation
   150,722 : 233,168 = 233,168 : x
2. Step 2: Convert to fraction form
   150,722/233,168 = 233,168/x
3. Step 3: Cross multiply
   150,722x = 233,168 × 233,168
4. Step 4: Simplify right side
   150,722x = 54,367,316,224
5. Step 5: Solve for x
   x = 54,367,316,224/150,722
6. Step 6: Final answer
   x = 360,712.55