Finding the Third Proportional to 78,328 and 118,218

Step by Step Solution

1. Step 1: Write the proportion equation
   78,328 : 118,218 = 118,218 : x
2. Step 2: Convert to fraction form
   78,328/118,218 = 118,218/x
3. Step 3: Cross multiply
   78,328x = 118,218 × 118,218
4. Step 4: Simplify right side
   78,328x = 13,975,495,524
5. Step 5: Solve for x
   x = 13,975,495,524/78,328
6. Step 6: Final answer
   x = 178,422.73