Finding the Third Proportional to 185,786 and 401,380

Step by Step Solution

1. Step 1: Write the proportion equation
   185,786 : 401,380 = 401,380 : x
2. Step 2: Convert to fraction form
   185,786/401,380 = 401,380/x
3. Step 3: Cross multiply
   185,786x = 401,380 × 401,380
4. Step 4: Simplify right side
   185,786x = 161,105,904,400
5. Step 5: Solve for x
   x = 161,105,904,400/185,786
6. Step 6: Final answer
   x = 867,158.47