Finding the Third Proportional to 185,944 and 407,384

Step by Step Solution

1. Step 1: Write the proportion equation
   185,944 : 407,384 = 407,384 : x
2. Step 2: Convert to fraction form
   185,944/407,384 = 407,384/x
3. Step 3: Cross multiply
   185,944x = 407,384 × 407,384
4. Step 4: Simplify right side
   185,944x = 165,961,723,456
5. Step 5: Solve for x
   x = 165,961,723,456/185,944
6. Step 6: Final answer
   x = 892,536.05