Finding the Third Proportional to 258,246 and 363,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,246 : 363,025.50 = 363,025.50 : x
2. Step 2: Convert to fraction form
   258,246/363,025.50 = 363,025.50/x
3. Step 3: Cross multiply
   258,246x = 363,025.50 × 363,025.50
4. Step 4: Simplify right side
   258,246x = 131,787,513,650.25
5. Step 5: Solve for x
   x = 131,787,513,650.25/258,246
6. Step 6: Final answer
   x = 510,317.73