Finding the Third Proportional to 264,546 and 405,364.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,546 : 405,364.50 = 405,364.50 : x
2. Step 2: Convert to fraction form
   264,546/405,364.50 = 405,364.50/x
3. Step 3: Cross multiply
   264,546x = 405,364.50 × 405,364.50
4. Step 4: Simplify right side
   264,546x = 164,320,377,860.25
5. Step 5: Solve for x
   x = 164,320,377,860.25/264,546
6. Step 6: Final answer
   x = 621,141.04