Finding the Third Proportional to 185,006 and 401,116

Step by Step Solution

1. Step 1: Write the proportion equation
   185,006 : 401,116 = 401,116 : x
2. Step 2: Convert to fraction form
   185,006/401,116 = 401,116/x
3. Step 3: Cross multiply
   185,006x = 401,116 × 401,116
4. Step 4: Simplify right side
   185,006x = 160,894,045,456
5. Step 5: Solve for x
   x = 160,894,045,456/185,006
6. Step 6: Final answer
   x = 869,669.34