Finding the Third Proportional to 364,257 and 542,649.38

Step by Step Solution

1. Step 1: Write the proportion equation
   364,257 : 542,649.38 = 542,649.38 : x
2. Step 2: Convert to fraction form
   364,257/542,649.38 = 542,649.38/x
3. Step 3: Cross multiply
   364,257x = 542,649.38 × 542,649.38
4. Step 4: Simplify right side
   364,257x = 294,468,344,187.89
5. Step 5: Solve for x
   x = 294,468,344,187.89/364,257
6. Step 6: Final answer
   x = 808,408.20