Finding the Third Proportional to 523,667 and 800,726

Step by Step Solution

1. Step 1: Write the proportion equation
   523,667 : 800,726 = 800,726 : x
2. Step 2: Convert to fraction form
   523,667/800,726 = 800,726/x
3. Step 3: Cross multiply
   523,667x = 800,726 × 800,726
4. Step 4: Simplify right side
   523,667x = 641,162,127,076
5. Step 5: Solve for x
   x = 641,162,127,076/523,667
6. Step 6: Final answer
   x = 1,224,369.93