Finding the Third Proportional to 189,865 and 404,269

Step by Step Solution

1. Step 1: Write the proportion equation
   189,865 : 404,269 = 404,269 : x
2. Step 2: Convert to fraction form
   189,865/404,269 = 404,269/x
3. Step 3: Cross multiply
   189,865x = 404,269 × 404,269
4. Step 4: Simplify right side
   189,865x = 163,433,424,361
5. Step 5: Solve for x
   x = 163,433,424,361/189,865
6. Step 6: Final answer
   x = 860,787.53