Finding the Third Proportional to 262,365 and 405,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,365 : 405,142.50 = 405,142.50 : x
2. Step 2: Convert to fraction form
   262,365/405,142.50 = 405,142.50/x
3. Step 3: Cross multiply
   262,365x = 405,142.50 × 405,142.50
4. Step 4: Simplify right side
   262,365x = 164,140,445,306.25
5. Step 5: Solve for x
   x = 164,140,445,306.25/262,365
6. Step 6: Final answer
   x = 625,618.68