Finding the Third Proportional to 43,164 and 89,324

Step by Step Solution

1. Step 1: Write the proportion equation
   43,164 : 89,324 = 89,324 : x
2. Step 2: Convert to fraction form
   43,164/89,324 = 89,324/x
3. Step 3: Cross multiply
   43,164x = 89,324 × 89,324
4. Step 4: Simplify right side
   43,164x = 7,978,776,976
5. Step 5: Solve for x
   x = 7,978,776,976/43,164
6. Step 6: Final answer
   x = 184,847.95