Finding the Third Proportional to 189,866 and 404,276

Step by Step Solution

1. Step 1: Write the proportion equation
   189,866 : 404,276 = 404,276 : x
2. Step 2: Convert to fraction form
   189,866/404,276 = 404,276/x
3. Step 3: Cross multiply
   189,866x = 404,276 × 404,276
4. Step 4: Simplify right side
   189,866x = 163,439,084,176
5. Step 5: Solve for x
   x = 163,439,084,176/189,866
6. Step 6: Final answer
   x = 860,812.81