Finding the Third Proportional to 253,380 and 401,196

Step by Step Solution

1. Step 1: Write the proportion equation
   253,380 : 401,196 = 401,196 : x
2. Step 2: Convert to fraction form
   253,380/401,196 = 401,196/x
3. Step 3: Cross multiply
   253,380x = 401,196 × 401,196
4. Step 4: Simplify right side
   253,380x = 160,958,230,416
5. Step 5: Solve for x
   x = 160,958,230,416/253,380
6. Step 6: Final answer
   x = 635,244.42