Finding the Third Proportional to 150,711 and 233,151

Step by Step Solution

1. Step 1: Write the proportion equation
   150,711 : 233,151 = 233,151 : x
2. Step 2: Convert to fraction form
   150,711/233,151 = 233,151/x
3. Step 3: Cross multiply
   150,711x = 233,151 × 233,151
4. Step 4: Simplify right side
   150,711x = 54,359,388,801
5. Step 5: Solve for x
   x = 54,359,388,801/150,711
6. Step 6: Final answer
   x = 360,686.27