Finding the Third Proportional to 264,861 and 405,249.75

Step by Step Solution

1. Step 1: Write the proportion equation
   264,861 : 405,249.75 = 405,249.75 : x
2. Step 2: Convert to fraction form
   264,861/405,249.75 = 405,249.75/x
3. Step 3: Cross multiply
   264,861x = 405,249.75 × 405,249.75
4. Step 4: Simplify right side
   264,861x = 164,227,359,875.06
5. Step 5: Solve for x
   x = 164,227,359,875.06/264,861
6. Step 6: Final answer
   x = 620,051.12