Finding the Third Proportional to 523,520 and 800,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,520 : 800,505.50 = 800,505.50 : x
2. Step 2: Convert to fraction form
   523,520/800,505.50 = 800,505.50/x
3. Step 3: Cross multiply
   523,520x = 800,505.50 × 800,505.50
4. Step 4: Simplify right side
   523,520x = 640,809,055,530.25
5. Step 5: Solve for x
   x = 640,809,055,530.25/523,520
6. Step 6: Final answer
   x = 1,224,039.30