Finding the Third Proportional to 401,699.25 and 533,111.63

Step by Step Solution

1. Step 1: Write the proportion equation
   401,699.25 : 533,111.63 = 533,111.63 : x
2. Step 2: Convert to fraction form
   401,699.25/533,111.63 = 533,111.63/x
3. Step 3: Cross multiply
   401,699.25x = 533,111.63 × 533,111.63
4. Step 4: Simplify right side
   401,699.25x = 284,208,004,710.14
5. Step 5: Solve for x
   x = 284,208,004,710.14/401,699.25
6. Step 6: Final answer
   x = 707,514.40