Finding the Third Proportional to 258,540 and 401,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,540 : 401,341.50 = 401,341.50 : x
2. Step 2: Convert to fraction form
   258,540/401,341.50 = 401,341.50/x
3. Step 3: Cross multiply
   258,540x = 401,341.50 × 401,341.50
4. Step 4: Simplify right side
   258,540x = 161,074,999,622.25
5. Step 5: Solve for x
   x = 161,074,999,622.25/258,540
6. Step 6: Final answer
   x = 623,017.71