Finding the Third Proportional to 78,264 and 118,494

Step by Step Solution

1. Step 1: Write the proportion equation
   78,264 : 118,494 = 118,494 : x
2. Step 2: Convert to fraction form
   78,264/118,494 = 118,494/x
3. Step 3: Cross multiply
   78,264x = 118,494 × 118,494
4. Step 4: Simplify right side
   78,264x = 14,040,828,036
5. Step 5: Solve for x
   x = 14,040,828,036/78,264
6. Step 6: Final answer
   x = 179,403.40