Finding the Third Proportional to 242,978 and 359,684

Step by Step Solution

1. Step 1: Write the proportion equation
   242,978 : 359,684 = 359,684 : x
2. Step 2: Convert to fraction form
   242,978/359,684 = 359,684/x
3. Step 3: Cross multiply
   242,978x = 359,684 × 359,684
4. Step 4: Simplify right side
   242,978x = 129,372,579,856
5. Step 5: Solve for x
   x = 129,372,579,856/242,978
6. Step 6: Final answer
   x = 532,445.65