Finding the Third Proportional to 206,096 and 434,333

Step by Step Solution

1. Step 1: Write the proportion equation
   206,096 : 434,333 = 434,333 : x
2. Step 2: Convert to fraction form
   206,096/434,333 = 434,333/x
3. Step 3: Cross multiply
   206,096x = 434,333 × 434,333
4. Step 4: Simplify right side
   206,096x = 188,645,154,889
5. Step 5: Solve for x
   x = 188,645,154,889/206,096
6. Step 6: Final answer
   x = 915,326.62