Finding the Third Proportional to 80,480 and 118,384

Step by Step Solution

1. Step 1: Write the proportion equation
   80,480 : 118,384 = 118,384 : x
2. Step 2: Convert to fraction form
   80,480/118,384 = 118,384/x
3. Step 3: Cross multiply
   80,480x = 118,384 × 118,384
4. Step 4: Simplify right side
   80,480x = 14,014,771,456
5. Step 5: Solve for x
   x = 14,014,771,456/80,480
6. Step 6: Final answer
   x = 174,139.80