Finding the Third Proportional to 253,300.50 and 401,091.75

Step by Step Solution

1. Step 1: Write the proportion equation
   253,300.50 : 401,091.75 = 401,091.75 : x
2. Step 2: Convert to fraction form
   253,300.50/401,091.75 = 401,091.75/x
3. Step 3: Cross multiply
   253,300.50x = 401,091.75 × 401,091.75
4. Step 4: Simplify right side
   253,300.50x = 160,874,591,918.06
5. Step 5: Solve for x
   x = 160,874,591,918.06/253,300.50
6. Step 6: Final answer
   x = 635,113.60