Finding the Third Proportional to 89,703 and 206,757

Step by Step Solution

1. Step 1: Write the proportion equation
   89,703 : 206,757 = 206,757 : x
2. Step 2: Convert to fraction form
   89,703/206,757 = 206,757/x
3. Step 3: Cross multiply
   89,703x = 206,757 × 206,757
4. Step 4: Simplify right side
   89,703x = 42,748,457,049
5. Step 5: Solve for x
   x = 42,748,457,049/89,703
6. Step 6: Final answer
   x = 476,555.49