Finding the Third Proportional to 96,676 and 205,088

Step by Step Solution

1. Step 1: Write the proportion equation
   96,676 : 205,088 = 205,088 : x
2. Step 2: Convert to fraction form
   96,676/205,088 = 205,088/x
3. Step 3: Cross multiply
   96,676x = 205,088 × 205,088
4. Step 4: Simplify right side
   96,676x = 42,061,087,744
5. Step 5: Solve for x
   x = 42,061,087,744/96,676
6. Step 6: Final answer
   x = 435,072.69