Finding the Third Proportional to 541,569 and 838,152.75

Step by Step Solution

1. Step 1: Write the proportion equation
   541,569 : 838,152.75 = 838,152.75 : x
2. Step 2: Convert to fraction form
   541,569/838,152.75 = 838,152.75/x
3. Step 3: Cross multiply
   541,569x = 838,152.75 × 838,152.75
4. Step 4: Simplify right side
   541,569x = 702,500,032,332.56
5. Step 5: Solve for x
   x = 702,500,032,332.56/541,569
6. Step 6: Final answer
   x = 1,297,157.02