Finding the Third Proportional to 150,598 and 200,769

Step by Step Solution

1. Step 1: Write the proportion equation
   150,598 : 200,769 = 200,769 : x
2. Step 2: Convert to fraction form
   150,598/200,769 = 200,769/x
3. Step 3: Cross multiply
   150,598x = 200,769 × 200,769
4. Step 4: Simplify right side
   150,598x = 40,308,191,361
5. Step 5: Solve for x
   x = 40,308,191,361/150,598
6. Step 6: Final answer
   x = 267,654.23