Finding the Third Proportional to 264,826 and 405,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,826 : 405,186.50 = 405,186.50 : x
2. Step 2: Convert to fraction form
   264,826/405,186.50 = 405,186.50/x
3. Step 3: Cross multiply
   264,826x = 405,186.50 × 405,186.50
4. Step 4: Simplify right side
   264,826x = 164,176,099,782.25
5. Step 5: Solve for x
   x = 164,176,099,782.25/264,826
6. Step 6: Final answer
   x = 619,939.51