Finding the Third Proportional to 262,327 and 405,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,327 : 405,087.50 = 405,087.50 : x
2. Step 2: Convert to fraction form
   262,327/405,087.50 = 405,087.50/x
3. Step 3: Cross multiply
   262,327x = 405,087.50 × 405,087.50
4. Step 4: Simplify right side
   262,327x = 164,095,882,656.25
5. Step 5: Solve for x
   x = 164,095,882,656.25/262,327
6. Step 6: Final answer
   x = 625,539.43