Finding the Third Proportional to 150,684 and 233,468

Step by Step Solution

1. Step 1: Write the proportion equation
   150,684 : 233,468 = 233,468 : x
2. Step 2: Convert to fraction form
   150,684/233,468 = 233,468/x
3. Step 3: Cross multiply
   150,684x = 233,468 × 233,468
4. Step 4: Simplify right side
   150,684x = 54,507,307,024
5. Step 5: Solve for x
   x = 54,507,307,024/150,684
6. Step 6: Final answer
   x = 361,732.55