Finding the Third Proportional to 200,624 and 311,648

Step by Step Solution

1. Step 1: Write the proportion equation
   200,624 : 311,648 = 311,648 : x
2. Step 2: Convert to fraction form
   200,624/311,648 = 311,648/x
3. Step 3: Cross multiply
   200,624x = 311,648 × 311,648
4. Step 4: Simplify right side
   200,624x = 97,124,475,904
5. Step 5: Solve for x
   x = 97,124,475,904/200,624
6. Step 6: Final answer
   x = 484,111.95