Finding the Third Proportional to 541,826 and 838,499

Step by Step Solution

1. Step 1: Write the proportion equation
   541,826 : 838,499 = 838,499 : x
2. Step 2: Convert to fraction form
   541,826/838,499 = 838,499/x
3. Step 3: Cross multiply
   541,826x = 838,499 × 838,499
4. Step 4: Simplify right side
   541,826x = 703,080,573,001
5. Step 5: Solve for x
   x = 703,080,573,001/541,826
6. Step 6: Final answer
   x = 1,297,613.21