Finding the Third Proportional to 94,741 and 204,662

Step by Step Solution

1. Step 1: Write the proportion equation
   94,741 : 204,662 = 204,662 : x
2. Step 2: Convert to fraction form
   94,741/204,662 = 204,662/x
3. Step 3: Cross multiply
   94,741x = 204,662 × 204,662
4. Step 4: Simplify right side
   94,741x = 41,886,534,244
5. Step 5: Solve for x
   x = 41,886,534,244/94,741
6. Step 6: Final answer
   x = 442,116.24