Finding the Third Proportional to 258,996.50 and 401,945

Step by Step Solution

1. Step 1: Write the proportion equation
   258,996.50 : 401,945 = 401,945 : x
2. Step 2: Convert to fraction form
   258,996.50/401,945 = 401,945/x
3. Step 3: Cross multiply
   258,996.50x = 401,945 × 401,945
4. Step 4: Simplify right side
   258,996.50x = 161,559,783,025
5. Step 5: Solve for x
   x = 161,559,783,025/258,996.50
6. Step 6: Final answer
   x = 623,791.38