Finding the Third Proportional to 401,356 and 546,665

Step by Step Solution

1. Step 1: Write the proportion equation
   401,356 : 546,665 = 546,665 : x
2. Step 2: Convert to fraction form
   401,356/546,665 = 546,665/x
3. Step 3: Cross multiply
   401,356x = 546,665 × 546,665
4. Step 4: Simplify right side
   401,356x = 298,842,622,225
5. Step 5: Solve for x
   x = 298,842,622,225/401,356
6. Step 6: Final answer
   x = 744,582.42