Finding the Third Proportional to 286,710 and 401,012

Step by Step Solution

1. Step 1: Write the proportion equation
   286,710 : 401,012 = 401,012 : x
2. Step 2: Convert to fraction form
   286,710/401,012 = 401,012/x
3. Step 3: Cross multiply
   286,710x = 401,012 × 401,012
4. Step 4: Simplify right side
   286,710x = 160,810,624,144
5. Step 5: Solve for x
   x = 160,810,624,144/286,710
6. Step 6: Final answer
   x = 560,882.51