Finding the Third Proportional to 242,196 and 359,838

Step by Step Solution

1. Step 1: Write the proportion equation
   242,196 : 359,838 = 359,838 : x
2. Step 2: Convert to fraction form
   242,196/359,838 = 359,838/x
3. Step 3: Cross multiply
   242,196x = 359,838 × 359,838
4. Step 4: Simplify right side
   242,196x = 129,483,386,244
5. Step 5: Solve for x
   x = 129,483,386,244/242,196
6. Step 6: Final answer
   x = 534,622.32