Finding the Third Proportional to 185,798 and 401,404

Step by Step Solution

1. Step 1: Write the proportion equation
   185,798 : 401,404 = 401,404 : x
2. Step 2: Convert to fraction form
   185,798/401,404 = 401,404/x
3. Step 3: Cross multiply
   185,798x = 401,404 × 401,404
4. Step 4: Simplify right side
   185,798x = 161,125,171,216
5. Step 5: Solve for x
   x = 161,125,171,216/185,798
6. Step 6: Final answer
   x = 867,206.17