Finding the Third Proportional to 150,850 and 223,665

Step by Step Solution

1. Step 1: Write the proportion equation
   150,850 : 223,665 = 223,665 : x
2. Step 2: Convert to fraction form
   150,850/223,665 = 223,665/x
3. Step 3: Cross multiply
   150,850x = 223,665 × 223,665
4. Step 4: Simplify right side
   150,850x = 50,026,032,225
5. Step 5: Solve for x
   x = 50,026,032,225/150,850
6. Step 6: Final answer
   x = 331,627.66