Finding the Third Proportional to 262,351.50 and 405,123

Step by Step Solution

1. Step 1: Write the proportion equation
   262,351.50 : 405,123 = 405,123 : x
2. Step 2: Convert to fraction form
   262,351.50/405,123 = 405,123/x
3. Step 3: Cross multiply
   262,351.50x = 405,123 × 405,123
4. Step 4: Simplify right side
   262,351.50x = 164,124,645,129
5. Step 5: Solve for x
   x = 164,124,645,129/262,351.50
6. Step 6: Final answer
   x = 625,590.65