Finding the Third Proportional to 165,968 and 238,584

Step by Step Solution

1. Step 1: Write the proportion equation
   165,968 : 238,584 = 238,584 : x
2. Step 2: Convert to fraction form
   165,968/238,584 = 238,584/x
3. Step 3: Cross multiply
   165,968x = 238,584 × 238,584
4. Step 4: Simplify right side
   165,968x = 56,922,325,056
5. Step 5: Solve for x
   x = 56,922,325,056/165,968
6. Step 6: Final answer
   x = 342,971.69