Finding the Third Proportional to 194,896 and 298,928

Step by Step Solution

1. Step 1: Write the proportion equation
   194,896 : 298,928 = 298,928 : x
2. Step 2: Convert to fraction form
   194,896/298,928 = 298,928/x
3. Step 3: Cross multiply
   194,896x = 298,928 × 298,928
4. Step 4: Simplify right side
   194,896x = 89,357,949,184
5. Step 5: Solve for x
   x = 89,357,949,184/194,896
6. Step 6: Final answer
   x = 458,490.42