Finding the Third Proportional to 150,592.50 and 200,763

Step by Step Solution

1. Step 1: Write the proportion equation
   150,592.50 : 200,763 = 200,763 : x
2. Step 2: Convert to fraction form
   150,592.50/200,763 = 200,763/x
3. Step 3: Cross multiply
   150,592.50x = 200,763 × 200,763
4. Step 4: Simplify right side
   150,592.50x = 40,305,782,169
5. Step 5: Solve for x
   x = 40,305,782,169/150,592.50
6. Step 6: Final answer
   x = 267,648.00