Finding the Third Proportional to 205,507 and 322,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,507 : 322,462.50 = 322,462.50 : x
2. Step 2: Convert to fraction form
   205,507/322,462.50 = 322,462.50/x
3. Step 3: Cross multiply
   205,507x = 322,462.50 × 322,462.50
4. Step 4: Simplify right side
   205,507x = 103,982,063,906.25
5. Step 5: Solve for x
   x = 103,982,063,906.25/205,507
6. Step 6: Final answer
   x = 505,978.21