Finding the Third Proportional to 248,577 and 382,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   248,577 : 382,570.50 = 382,570.50 : x
2. Step 2: Convert to fraction form
   248,577/382,570.50 = 382,570.50/x
3. Step 3: Cross multiply
   248,577x = 382,570.50 × 382,570.50
4. Step 4: Simplify right side
   248,577x = 146,360,187,470.25
5. Step 5: Solve for x
   x = 146,360,187,470.25/248,577
6. Step 6: Final answer
   x = 588,792.15