Finding the Third Proportional to 523,684.50 and 800,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523,684.50 : 800,743.50 = 800,743.50 : x
2. Step 2: Convert to fraction form
   523,684.50/800,743.50 = 800,743.50/x
3. Step 3: Cross multiply
   523,684.50x = 800,743.50 × 800,743.50
4. Step 4: Simplify right side
   523,684.50x = 641,190,152,792.25
5. Step 5: Solve for x
   x = 641,190,152,792.25/523,684.50
6. Step 6: Final answer
   x = 1,224,382.53