Finding the Third Proportional to 194,838 and 404,983

Step by Step Solution

1. Step 1: Write the proportion equation
   194,838 : 404,983 = 404,983 : x
2. Step 2: Convert to fraction form
   194,838/404,983 = 404,983/x
3. Step 3: Cross multiply
   194,838x = 404,983 × 404,983
4. Step 4: Simplify right side
   194,838x = 164,011,230,289
5. Step 5: Solve for x
   x = 164,011,230,289/194,838
6. Step 6: Final answer
   x = 841,782.56