Finding the Third Proportional to 258,233.06 and 363,005.30

Step by Step Solution

1. Step 1: Write the proportion equation
   258,233.06 : 363,005.30 = 363,005.30 : x
2. Step 2: Convert to fraction form
   258,233.06/363,005.30 = 363,005.30/x
3. Step 3: Cross multiply
   258,233.06x = 363,005.30 × 363,005.30
4. Step 4: Simplify right side
   258,233.06x = 131,772,845,559.31
5. Step 5: Solve for x
   x = 131,772,845,559.31/258,233.06
6. Step 6: Final answer
   x = 510,286.50