Finding the Third Proportional to 77,922 and 111,426

Step by Step Solution

1. Step 1: Write the proportion equation
   77,922 : 111,426 = 111,426 : x
2. Step 2: Convert to fraction form
   77,922/111,426 = 111,426/x
3. Step 3: Cross multiply
   77,922x = 111,426 × 111,426
4. Step 4: Simplify right side
   77,922x = 12,415,753,476
5. Step 5: Solve for x
   x = 12,415,753,476/77,922
6. Step 6: Final answer
   x = 159,335.66