Finding the Third Proportional to 523,674 and 800,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,674 : 800,734.50 = 800,734.50 : x
2. Step 2: Convert to fraction form
   523,674/800,734.50 = 800,734.50/x
3. Step 3: Cross multiply
   523,674x = 800,734.50 × 800,734.50
4. Step 4: Simplify right side
   523,674x = 641,175,739,490.25
5. Step 5: Solve for x
   x = 641,175,739,490.25/523,674
6. Step 6: Final answer
   x = 1,224,379.56