Finding the Third Proportional to 253,295 and 401,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,295 : 401,083.50 = 401,083.50 : x
2. Step 2: Convert to fraction form
   253,295/401,083.50 = 401,083.50/x
3. Step 3: Cross multiply
   253,295x = 401,083.50 × 401,083.50
4. Step 4: Simplify right side
   253,295x = 160,867,973,972.25
5. Step 5: Solve for x
   x = 160,867,973,972.25/253,295
6. Step 6: Final answer
   x = 635,101.26