Finding the Third Proportional to 206,586 and 431,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,586 : 431,725.50 = 431,725.50 : x
2. Step 2: Convert to fraction form
   206,586/431,725.50 = 431,725.50/x
3. Step 3: Cross multiply
   206,586x = 431,725.50 × 431,725.50
4. Step 4: Simplify right side
   206,586x = 186,386,907,350.25
5. Step 5: Solve for x
   x = 186,386,907,350.25/206,586
6. Step 6: Final answer
   x = 902,224.29