Finding the Third Proportional to 200,924 and 303,424

Step by Step Solution

1. Step 1: Write the proportion equation
   200,924 : 303,424 = 303,424 : x
2. Step 2: Convert to fraction form
   200,924/303,424 = 303,424/x
3. Step 3: Cross multiply
   200,924x = 303,424 × 303,424
4. Step 4: Simplify right side
   200,924x = 92,066,123,776
5. Step 5: Solve for x
   x = 92,066,123,776/200,924
6. Step 6: Final answer
   x = 458,213.67