Finding the Third Proportional to 258,601.50 and 401,431.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,601.50 : 401,431.50 = 401,431.50 : x
2. Step 2: Convert to fraction form
   258,601.50/401,431.50 = 401,431.50/x
3. Step 3: Cross multiply
   258,601.50x = 401,431.50 × 401,431.50
4. Step 4: Simplify right side
   258,601.50x = 161,147,249,192.25
5. Step 5: Solve for x
   x = 161,147,249,192.25/258,601.50
6. Step 6: Final answer
   x = 623,148.93