Finding the Third Proportional to 77,910 and 111,401

Step by Step Solution

1. Step 1: Write the proportion equation
   77,910 : 111,401 = 111,401 : x
2. Step 2: Convert to fraction form
   77,910/111,401 = 111,401/x
3. Step 3: Cross multiply
   77,910x = 111,401 × 111,401
4. Step 4: Simplify right side
   77,910x = 12,410,182,801
5. Step 5: Solve for x
   x = 12,410,182,801/77,910
6. Step 6: Final answer
   x = 159,288.70