Finding the Third Proportional to 189,857 and 404,254

Step by Step Solution

1. Step 1: Write the proportion equation
   189,857 : 404,254 = 404,254 : x
2. Step 2: Convert to fraction form
   189,857/404,254 = 404,254/x
3. Step 3: Cross multiply
   189,857x = 404,254 × 404,254
4. Step 4: Simplify right side
   189,857x = 163,421,296,516
5. Step 5: Solve for x
   x = 163,421,296,516/189,857
6. Step 6: Final answer
   x = 860,759.92