Finding the Third Proportional to 78,058 and 111,541

Step by Step Solution

1. Step 1: Write the proportion equation
   78,058 : 111,541 = 111,541 : x
2. Step 2: Convert to fraction form
   78,058/111,541 = 111,541/x
3. Step 3: Cross multiply
   78,058x = 111,541 × 111,541
4. Step 4: Simplify right side
   78,058x = 12,441,394,681
5. Step 5: Solve for x
   x = 12,441,394,681/78,058
6. Step 6: Final answer
   x = 159,386.54