Finding the Third Proportional to 253,800 and 401,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,800 : 401,593.50 = 401,593.50 : x
2. Step 2: Convert to fraction form
   253,800/401,593.50 = 401,593.50/x
3. Step 3: Cross multiply
   253,800x = 401,593.50 × 401,593.50
4. Step 4: Simplify right side
   253,800x = 161,277,339,242.25
5. Step 5: Solve for x
   x = 161,277,339,242.25/253,800
6. Step 6: Final answer
   x = 635,450.51