Finding the Third Proportional to 401,353.50 and 546,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   401,353.50 : 546,662.25 = 546,662.25 : x
2. Step 2: Convert to fraction form
   401,353.50/546,662.25 = 546,662.25/x
3. Step 3: Cross multiply
   401,353.50x = 546,662.25 × 546,662.25
4. Step 4: Simplify right side
   401,353.50x = 298,839,615,575.06
5. Step 5: Solve for x
   x = 298,839,615,575.06/401,353.50
6. Step 6: Final answer
   x = 744,579.57