Finding the Third Proportional to 200,062 and 309,677

Step by Step Solution

1. Step 1: Write the proportion equation
   200,062 : 309,677 = 309,677 : x
2. Step 2: Convert to fraction form
   200,062/309,677 = 309,677/x
3. Step 3: Cross multiply
   200,062x = 309,677 × 309,677
4. Step 4: Simplify right side
   200,062x = 95,899,844,329
5. Step 5: Solve for x
   x = 95,899,844,329/200,062
6. Step 6: Final answer
   x = 479,350.62