Finding the Third Proportional to 189,888 and 404,320

Step by Step Solution

1. Step 1: Write the proportion equation
   189,888 : 404,320 = 404,320 : x
2. Step 2: Convert to fraction form
   189,888/404,320 = 404,320/x
3. Step 3: Cross multiply
   189,888x = 404,320 × 404,320
4. Step 4: Simplify right side
   189,888x = 163,474,662,400
5. Step 5: Solve for x
   x = 163,474,662,400/189,888
6. Step 6: Final answer
   x = 860,900.44