Finding the Third Proportional to 78,296 and 111,612

Step by Step Solution

1. Step 1: Write the proportion equation
   78,296 : 111,612 = 111,612 : x
2. Step 2: Convert to fraction form
   78,296/111,612 = 111,612/x
3. Step 3: Cross multiply
   78,296x = 111,612 × 111,612
4. Step 4: Simplify right side
   78,296x = 12,457,238,544
5. Step 5: Solve for x
   x = 12,457,238,544/78,296
6. Step 6: Final answer
   x = 159,104.41