Finding the Third Proportional to 262,380 and 401,172

Step by Step Solution

1. Step 1: Write the proportion equation
   262,380 : 401,172 = 401,172 : x
2. Step 2: Convert to fraction form
   262,380/401,172 = 401,172/x
3. Step 3: Cross multiply
   262,380x = 401,172 × 401,172
4. Step 4: Simplify right side
   262,380x = 160,938,973,584
5. Step 5: Solve for x
   x = 160,938,973,584/262,380
6. Step 6: Final answer
   x = 613,381.25