Finding the Third Proportional to 77,867 and 111,349

Step by Step Solution

1. Step 1: Write the proportion equation
   77,867 : 111,349 = 111,349 : x
2. Step 2: Convert to fraction form
   77,867/111,349 = 111,349/x
3. Step 3: Cross multiply
   77,867x = 111,349 × 111,349
4. Step 4: Simplify right side
   77,867x = 12,398,599,801
5. Step 5: Solve for x
   x = 12,398,599,801/77,867
6. Step 6: Final answer
   x = 159,227.91