Finding the Third Proportional to 200,082 and 309,711

Step by Step Solution

1. Step 1: Write the proportion equation
   200,082 : 309,711 = 309,711 : x
2. Step 2: Convert to fraction form
   200,082/309,711 = 309,711/x
3. Step 3: Cross multiply
   200,082x = 309,711 × 309,711
4. Step 4: Simplify right side
   200,082x = 95,920,903,521
5. Step 5: Solve for x
   x = 95,920,903,521/200,082
6. Step 6: Final answer
   x = 479,407.96