Finding the Third Proportional to 83,580 and 117,144

Step by Step Solution

1. Step 1: Write the proportion equation
   83,580 : 117,144 = 117,144 : x
2. Step 2: Convert to fraction form
   83,580/117,144 = 117,144/x
3. Step 3: Cross multiply
   83,580x = 117,144 × 117,144
4. Step 4: Simplify right side
   83,580x = 13,722,716,736
5. Step 5: Solve for x
   x = 13,722,716,736/83,580
6. Step 6: Final answer
   x = 164,186.61