Finding the Third Proportional to 206,091.50 and 434,323

Step by Step Solution

1. Step 1: Write the proportion equation
   206,091.50 : 434,323 = 434,323 : x
2. Step 2: Convert to fraction form
   206,091.50/434,323 = 434,323/x
3. Step 3: Cross multiply
   206,091.50x = 434,323 × 434,323
4. Step 4: Simplify right side
   206,091.50x = 188,636,468,329
5. Step 5: Solve for x
   x = 188,636,468,329/206,091.50
6. Step 6: Final answer
   x = 915,304.46