Finding the Third Proportional to 253,293 and 401,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,293 : 401,080.50 = 401,080.50 : x
2. Step 2: Convert to fraction form
   253,293/401,080.50 = 401,080.50/x
3. Step 3: Cross multiply
   253,293x = 401,080.50 × 401,080.50
4. Step 4: Simplify right side
   253,293x = 160,865,567,480.25
5. Step 5: Solve for x
   x = 160,865,567,480.25/253,293
6. Step 6: Final answer
   x = 635,096.78