Finding the Third Proportional to 200,688 and 309,852

Step by Step Solution

1. Step 1: Write the proportion equation
   200,688 : 309,852 = 309,852 : x
2. Step 2: Convert to fraction form
   200,688/309,852 = 309,852/x
3. Step 3: Cross multiply
   200,688x = 309,852 × 309,852
4. Step 4: Simplify right side
   200,688x = 96,008,261,904
5. Step 5: Solve for x
   x = 96,008,261,904/200,688
6. Step 6: Final answer
   x = 478,395.63