Finding the Third Proportional to 401,321 and 535,003

Step by Step Solution

1. Step 1: Write the proportion equation
   401,321 : 535,003 = 535,003 : x
2. Step 2: Convert to fraction form
   401,321/535,003 = 535,003/x
3. Step 3: Cross multiply
   401,321x = 535,003 × 535,003
4. Step 4: Simplify right side
   401,321x = 286,228,210,009
5. Step 5: Solve for x
   x = 286,228,210,009/401,321
6. Step 6: Final answer
   x = 713,215.13