Finding the Third Proportional to 78,827 and 171,050

Step by Step Solution

1. Step 1: Write the proportion equation
   78,827 : 171,050 = 171,050 : x
2. Step 2: Convert to fraction form
   78,827/171,050 = 171,050/x
3. Step 3: Cross multiply
   78,827x = 171,050 × 171,050
4. Step 4: Simplify right side
   78,827x = 29,258,102,500
5. Step 5: Solve for x
   x = 29,258,102,500/78,827
6. Step 6: Final answer
   x = 371,168.54