Finding the Third Proportional to 225,526 and 495,692

Step by Step Solution

1. Step 1: Write the proportion equation
   225,526 : 495,692 = 495,692 : x
2. Step 2: Convert to fraction form
   225,526/495,692 = 495,692/x
3. Step 3: Cross multiply
   225,526x = 495,692 × 495,692
4. Step 4: Simplify right side
   225,526x = 245,710,558,864
5. Step 5: Solve for x
   x = 245,710,558,864/225,526
6. Step 6: Final answer
   x = 1,089,499.92