Finding the Third Proportional to 78,005 and 111,470

Step by Step Solution

1. Step 1: Write the proportion equation
   78,005 : 111,470 = 111,470 : x
2. Step 2: Convert to fraction form
   78,005/111,470 = 111,470/x
3. Step 3: Cross multiply
   78,005x = 111,470 × 111,470
4. Step 4: Simplify right side
   78,005x = 12,425,560,900
5. Step 5: Solve for x
   x = 12,425,560,900/78,005
6. Step 6: Final answer
   x = 159,291.85