Finding the Third Proportional to 171,907.50 and 258,186

Step by Step Solution

1. Step 1: Write the proportion equation
   171,907.50 : 258,186 = 258,186 : x
2. Step 2: Convert to fraction form
   171,907.50/258,186 = 258,186/x
3. Step 3: Cross multiply
   171,907.50x = 258,186 × 258,186
4. Step 4: Simplify right side
   171,907.50x = 66,660,010,596
5. Step 5: Solve for x
   x = 66,660,010,596/171,907.50
6. Step 6: Final answer
   x = 387,766.74