Finding the Third Proportional to 286,696 and 401,064

Step by Step Solution

1. Step 1: Write the proportion equation
   286,696 : 401,064 = 401,064 : x
2. Step 2: Convert to fraction form
   286,696/401,064 = 401,064/x
3. Step 3: Cross multiply
   286,696x = 401,064 × 401,064
4. Step 4: Simplify right side
   286,696x = 160,852,332,096
5. Step 5: Solve for x
   x = 160,852,332,096/286,696
6. Step 6: Final answer
   x = 561,055.38