Finding the Third Proportional to 401,356 and 546,666

Step by Step Solution

1. Step 1: Write the proportion equation
   401,356 : 546,666 = 546,666 : x
2. Step 2: Convert to fraction form
   401,356/546,666 = 546,666/x
3. Step 3: Cross multiply
   401,356x = 546,666 × 546,666
4. Step 4: Simplify right side
   401,356x = 298,843,715,556
5. Step 5: Solve for x
   x = 298,843,715,556/401,356
6. Step 6: Final answer
   x = 744,585.15