Finding the Third Proportional to 78,905 and 122,250

Step by Step Solution

1. Step 1: Write the proportion equation
   78,905 : 122,250 = 122,250 : x
2. Step 2: Convert to fraction form
   78,905/122,250 = 122,250/x
3. Step 3: Cross multiply
   78,905x = 122,250 × 122,250
4. Step 4: Simplify right side
   78,905x = 14,945,062,500
5. Step 5: Solve for x
   x = 14,945,062,500/78,905
6. Step 6: Final answer
   x = 189,405.77