Finding the Third Proportional to 401,353 and 546,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,353 : 546,661.50 = 546,661.50 : x
2. Step 2: Convert to fraction form
   401,353/546,661.50 = 546,661.50/x
3. Step 3: Cross multiply
   401,353x = 546,661.50 × 546,661.50
4. Step 4: Simplify right side
   401,353x = 298,838,795,582.25
5. Step 5: Solve for x
   x = 298,838,795,582.25/401,353
6. Step 6: Final answer
   x = 744,578.45