Finding the Third Proportional to 541,256 and 824,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   541,256 : 824,650.50 = 824,650.50 : x
2. Step 2: Convert to fraction form
   541,256/824,650.50 = 824,650.50/x
3. Step 3: Cross multiply
   541,256x = 824,650.50 × 824,650.50
4. Step 4: Simplify right side
   541,256x = 680,048,447,150.25
5. Step 5: Solve for x
   x = 680,048,447,150.25/541,256
6. Step 6: Final answer
   x = 1,256,426.62