Finding the Third Proportional to 234,086 and 353,196

Step by Step Solution

1. Step 1: Write the proportion equation
   234,086 : 353,196 = 353,196 : x
2. Step 2: Convert to fraction form
   234,086/353,196 = 353,196/x
3. Step 3: Cross multiply
   234,086x = 353,196 × 353,196
4. Step 4: Simplify right side
   234,086x = 124,747,414,416
5. Step 5: Solve for x
   x = 124,747,414,416/234,086
6. Step 6: Final answer
   x = 532,912.75