Finding the Third Proportional to 78,459 and 116,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,459 : 116,164 = 116,164 : x
2. Step 2: Convert to fraction form
   78,459/116,164 = 116,164/x
3. Step 3: Cross multiply
   78,459x = 116,164 × 116,164
4. Step 4: Simplify right side
   78,459x = 13,494,074,896
5. Step 5: Solve for x
   x = 13,494,074,896/78,459
6. Step 6: Final answer
   x = 171,988.87