Finding the Third Proportional to 258,591.94 and 401,419.69

Step by Step Solution

1. Step 1: Write the proportion equation
   258,591.94 : 401,419.69 = 401,419.69 : x
2. Step 2: Convert to fraction form
   258,591.94/401,419.69 = 401,419.69/x
3. Step 3: Cross multiply
   258,591.94x = 401,419.69 × 401,419.69
4. Step 4: Simplify right side
   258,591.94x = 161,137,765,512.60
5. Step 5: Solve for x
   x = 161,137,765,512.60/258,591.94
6. Step 6: Final answer
   x = 623,135.30