Finding the Third Proportional to 185,007 and 401,118

Step by Step Solution

1. Step 1: Write the proportion equation
   185,007 : 401,118 = 401,118 : x
2. Step 2: Convert to fraction form
   185,007/401,118 = 401,118/x
3. Step 3: Cross multiply
   185,007x = 401,118 × 401,118
4. Step 4: Simplify right side
   185,007x = 160,895,649,924
5. Step 5: Solve for x
   x = 160,895,649,924/185,007
6. Step 6: Final answer
   x = 869,673.31