Finding the Third Proportional to 85,968 and 181,584

Step by Step Solution

1. Step 1: Write the proportion equation
   85,968 : 181,584 = 181,584 : x
2. Step 2: Convert to fraction form
   85,968/181,584 = 181,584/x
3. Step 3: Cross multiply
   85,968x = 181,584 × 181,584
4. Step 4: Simplify right side
   85,968x = 32,972,749,056
5. Step 5: Solve for x
   x = 32,972,749,056/85,968
6. Step 6: Final answer
   x = 383,546.77