Finding the Third Proportional to 78,014 and 111,477

Step by Step Solution

1. Step 1: Write the proportion equation
   78,014 : 111,477 = 111,477 : x
2. Step 2: Convert to fraction form
   78,014/111,477 = 111,477/x
3. Step 3: Cross multiply
   78,014x = 111,477 × 111,477
4. Step 4: Simplify right side
   78,014x = 12,427,121,529
5. Step 5: Solve for x
   x = 12,427,121,529/78,014
6. Step 6: Final answer
   x = 159,293.48