Finding the Third Proportional to 258.50 and 471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258.50 : 471.50 = 471.50 : x
2. Step 2: Convert to fraction form
   258.50/471.50 = 471.50/x
3. Step 3: Cross multiply
   258.50x = 471.50 × 471.50
4. Step 4: Simplify right side
   258.50x = 222,312.25
5. Step 5: Solve for x
   x = 222,312.25/258.50
6. Step 6: Final answer
   x = 860.01