Finding the Third Proportional to 107,771 and 234,196

Step by Step Solution

1. Step 1: Write the proportion equation
   107,771 : 234,196 = 234,196 : x
2. Step 2: Convert to fraction form
   107,771/234,196 = 234,196/x
3. Step 3: Cross multiply
   107,771x = 234,196 × 234,196
4. Step 4: Simplify right side
   107,771x = 54,847,766,416
5. Step 5: Solve for x
   x = 54,847,766,416/107,771
6. Step 6: Final answer
   x = 508,928.81