Finding the Third Proportional to 150,636 and 199,890

Step by Step Solution

1. Step 1: Write the proportion equation
   150,636 : 199,890 = 199,890 : x
2. Step 2: Convert to fraction form
   150,636/199,890 = 199,890/x
3. Step 3: Cross multiply
   150,636x = 199,890 × 199,890
4. Step 4: Simplify right side
   150,636x = 39,956,012,100
5. Step 5: Solve for x
   x = 39,956,012,100/150,636
6. Step 6: Final answer
   x = 265,248.76