Finding the Third Proportional to 78,364 and 118,116

Step by Step Solution

1. Step 1: Write the proportion equation
   78,364 : 118,116 = 118,116 : x
2. Step 2: Convert to fraction form
   78,364/118,116 = 118,116/x
3. Step 3: Cross multiply
   78,364x = 118,116 × 118,116
4. Step 4: Simplify right side
   78,364x = 13,951,389,456
5. Step 5: Solve for x
   x = 13,951,389,456/78,364
6. Step 6: Final answer
   x = 178,033.15