Finding the Third Proportional to 77,927 and 111,427

Step by Step Solution

1. Step 1: Write the proportion equation
   77,927 : 111,427 = 111,427 : x
2. Step 2: Convert to fraction form
   77,927/111,427 = 111,427/x
3. Step 3: Cross multiply
   77,927x = 111,427 × 111,427
4. Step 4: Simplify right side
   77,927x = 12,415,976,329
5. Step 5: Solve for x
   x = 12,415,976,329/77,927
6. Step 6: Final answer
   x = 159,328.30