Finding the Third Proportional to 78,604 and 118,074

Step by Step Solution

1. Step 1: Write the proportion equation
   78,604 : 118,074 = 118,074 : x
2. Step 2: Convert to fraction form
   78,604/118,074 = 118,074/x
3. Step 3: Cross multiply
   78,604x = 118,074 × 118,074
4. Step 4: Simplify right side
   78,604x = 13,941,469,476
5. Step 5: Solve for x
   x = 13,941,469,476/78,604
6. Step 6: Final answer
   x = 177,363.36