Finding the Third Proportional to 78,204 and 111,426

Step by Step Solution

1. Step 1: Write the proportion equation
   78,204 : 111,426 = 111,426 : x
2. Step 2: Convert to fraction form
   78,204/111,426 = 111,426/x
3. Step 3: Cross multiply
   78,204x = 111,426 × 111,426
4. Step 4: Simplify right side
   78,204x = 12,415,753,476
5. Step 5: Solve for x
   x = 12,415,753,476/78,204
6. Step 6: Final answer
   x = 158,761.11