Finding the Third Proportional to 258,282 and 387,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,282 : 387,409.50 = 387,409.50 : x
2. Step 2: Convert to fraction form
   258,282/387,409.50 = 387,409.50/x
3. Step 3: Cross multiply
   258,282x = 387,409.50 × 387,409.50
4. Step 4: Simplify right side
   258,282x = 150,086,120,690.25
5. Step 5: Solve for x
   x = 150,086,120,690.25/258,282
6. Step 6: Final answer
   x = 581,094.00