Finding the Third Proportional to 89,441 and 206,893

Step by Step Solution

1. Step 1: Write the proportion equation
   89,441 : 206,893 = 206,893 : x
2. Step 2: Convert to fraction form
   89,441/206,893 = 206,893/x
3. Step 3: Cross multiply
   89,441x = 206,893 × 206,893
4. Step 4: Simplify right side
   89,441x = 42,804,713,449
5. Step 5: Solve for x
   x = 42,804,713,449/89,441
6. Step 6: Final answer
   x = 478,580.44