Finding the Third Proportional to 206,496 and 424,109.25

Step by Step Solution

1. Step 1: Write the proportion equation
   206,496 : 424,109.25 = 424,109.25 : x
2. Step 2: Convert to fraction form
   206,496/424,109.25 = 424,109.25/x
3. Step 3: Cross multiply
   206,496x = 424,109.25 × 424,109.25
4. Step 4: Simplify right side
   206,496x = 179,868,655,935.56
5. Step 5: Solve for x
   x = 179,868,655,935.56/206,496
6. Step 6: Final answer
   x = 871,051.53