Finding the Third Proportional to 200,692 and 309,858

Step by Step Solution

1. Step 1: Write the proportion equation
   200,692 : 309,858 = 309,858 : x
2. Step 2: Convert to fraction form
   200,692/309,858 = 309,858/x
3. Step 3: Cross multiply
   200,692x = 309,858 × 309,858
4. Step 4: Simplify right side
   200,692x = 96,011,980,164
5. Step 5: Solve for x
   x = 96,011,980,164/200,692
6. Step 6: Final answer
   x = 478,404.62