Finding the Third Proportional to 242,738 and 497,140

Step by Step Solution

1. Step 1: Write the proportion equation
   242,738 : 497,140 = 497,140 : x
2. Step 2: Convert to fraction form
   242,738/497,140 = 497,140/x
3. Step 3: Cross multiply
   242,738x = 497,140 × 497,140
4. Step 4: Simplify right side
   242,738x = 247,148,179,600
5. Step 5: Solve for x
   x = 247,148,179,600/242,738
6. Step 6: Final answer
   x = 1,018,168.48