Finding the Third Proportional to 186,196 and 401,906

Step by Step Solution

1. Step 1: Write the proportion equation
   186,196 : 401,906 = 401,906 : x
2. Step 2: Convert to fraction form
   186,196/401,906 = 401,906/x
3. Step 3: Cross multiply
   186,196x = 401,906 × 401,906
4. Step 4: Simplify right side
   186,196x = 161,528,432,836
5. Step 5: Solve for x
   x = 161,528,432,836/186,196
6. Step 6: Final answer
   x = 867,518.28