Finding the Third Proportional to 286,704 and 401,003

Step by Step Solution

1. Step 1: Write the proportion equation
   286,704 : 401,003 = 401,003 : x
2. Step 2: Convert to fraction form
   286,704/401,003 = 401,003/x
3. Step 3: Cross multiply
   286,704x = 401,003 × 401,003
4. Step 4: Simplify right side
   286,704x = 160,803,406,009
5. Step 5: Solve for x
   x = 160,803,406,009/286,704
6. Step 6: Final answer
   x = 560,869.07