Finding the Third Proportional to 89,876 and 208,082

Step by Step Solution

1. Step 1: Write the proportion equation
   89,876 : 208,082 = 208,082 : x
2. Step 2: Convert to fraction form
   89,876/208,082 = 208,082/x
3. Step 3: Cross multiply
   89,876x = 208,082 × 208,082
4. Step 4: Simplify right side
   89,876x = 43,298,118,724
5. Step 5: Solve for x
   x = 43,298,118,724/89,876
6. Step 6: Final answer
   x = 481,753.96