Finding the Third Proportional to 202,002 and 299,096

Step by Step Solution

1. Step 1: Write the proportion equation
   202,002 : 299,096 = 299,096 : x
2. Step 2: Convert to fraction form
   202,002/299,096 = 299,096/x
3. Step 3: Cross multiply
   202,002x = 299,096 × 299,096
4. Step 4: Simplify right side
   202,002x = 89,458,417,216
5. Step 5: Solve for x
   x = 89,458,417,216/202,002
6. Step 6: Final answer
   x = 442,859.07