Finding the Third Proportional to 78,825 and 122,384

Step by Step Solution

1. Step 1: Write the proportion equation
   78,825 : 122,384 = 122,384 : x
2. Step 2: Convert to fraction form
   78,825/122,384 = 122,384/x
3. Step 3: Cross multiply
   78,825x = 122,384 × 122,384
4. Step 4: Simplify right side
   78,825x = 14,977,843,456
5. Step 5: Solve for x
   x = 14,977,843,456/78,825
6. Step 6: Final answer
   x = 190,013.87