Finding the Third Proportional to 78,390 and 118,314

Step by Step Solution

1. Step 1: Write the proportion equation
   78,390 : 118,314 = 118,314 : x
2. Step 2: Convert to fraction form
   78,390/118,314 = 118,314/x
3. Step 3: Cross multiply
   78,390x = 118,314 × 118,314
4. Step 4: Simplify right side
   78,390x = 13,998,202,596
5. Step 5: Solve for x
   x = 13,998,202,596/78,390
6. Step 6: Final answer
   x = 178,571.28