Finding the Third Proportional to 401,355 and 546,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,355 : 546,664.50 = 546,664.50 : x
2. Step 2: Convert to fraction form
   401,355/546,664.50 = 546,664.50/x
3. Step 3: Cross multiply
   401,355x = 546,664.50 × 546,664.50
4. Step 4: Simplify right side
   401,355x = 298,842,075,560.25
5. Step 5: Solve for x
   x = 298,842,075,560.25/401,355
6. Step 6: Final answer
   x = 744,582.91