Finding the Third Proportional to 253,705.50 and 401,429.25

Step by Step Solution

1. Step 1: Write the proportion equation
   253,705.50 : 401,429.25 = 401,429.25 : x
2. Step 2: Convert to fraction form
   253,705.50/401,429.25 = 401,429.25/x
3. Step 3: Cross multiply
   253,705.50x = 401,429.25 × 401,429.25
4. Step 4: Simplify right side
   253,705.50x = 161,145,442,755.56
5. Step 5: Solve for x
   x = 161,145,442,755.56/253,705.50
6. Step 6: Final answer
   x = 635,167.32