Finding the Third Proportional to 194,434.25 and 404,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,434.25 : 404,388.50 = 404,388.50 : x
2. Step 2: Convert to fraction form
   194,434.25/404,388.50 = 404,388.50/x
3. Step 3: Cross multiply
   194,434.25x = 404,388.50 × 404,388.50
4. Step 4: Simplify right side
   194,434.25x = 163,530,058,932.25
5. Step 5: Solve for x
   x = 163,530,058,932.25/194,434.25
6. Step 6: Final answer
   x = 841,055.83