Finding the Third Proportional to 80,380 and 174,599

Step by Step Solution

1. Step 1: Write the proportion equation
   80,380 : 174,599 = 174,599 : x
2. Step 2: Convert to fraction form
   80,380/174,599 = 174,599/x
3. Step 3: Cross multiply
   80,380x = 174,599 × 174,599
4. Step 4: Simplify right side
   80,380x = 30,484,810,801
5. Step 5: Solve for x
   x = 30,484,810,801/80,380
6. Step 6: Final answer
   x = 379,258.66