Finding the Third Proportional to 401,627 and 535,443

Step by Step Solution

1. Step 1: Write the proportion equation
   401,627 : 535,443 = 535,443 : x
2. Step 2: Convert to fraction form
   401,627/535,443 = 535,443/x
3. Step 3: Cross multiply
   401,627x = 535,443 × 535,443
4. Step 4: Simplify right side
   401,627x = 286,699,206,249
5. Step 5: Solve for x
   x = 286,699,206,249/401,627
6. Step 6: Final answer
   x = 713,844.45