Finding the Third Proportional to 401,096 and 601,729

Step by Step Solution

1. Step 1: Write the proportion equation
   401,096 : 601,729 = 601,729 : x
2. Step 2: Convert to fraction form
   401,096/601,729 = 601,729/x
3. Step 3: Cross multiply
   401,096x = 601,729 × 601,729
4. Step 4: Simplify right side
   401,096x = 362,077,789,441
5. Step 5: Solve for x
   x = 362,077,789,441/401,096
6. Step 6: Final answer
   x = 902,721.02