Finding the Third Proportional to 258,857 and 401,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,857 : 401,741.50 = 401,741.50 : x
2. Step 2: Convert to fraction form
   258,857/401,741.50 = 401,741.50/x
3. Step 3: Cross multiply
   258,857x = 401,741.50 × 401,741.50
4. Step 4: Simplify right side
   258,857x = 161,396,232,822.25
5. Step 5: Solve for x
   x = 161,396,232,822.25/258,857
6. Step 6: Final answer
   x = 623,495.72