Finding the Third Proportional to 77,944 and 111,466

Step by Step Solution

1. Step 1: Write the proportion equation
   77,944 : 111,466 = 111,466 : x
2. Step 2: Convert to fraction form
   77,944/111,466 = 111,466/x
3. Step 3: Cross multiply
   77,944x = 111,466 × 111,466
4. Step 4: Simplify right side
   77,944x = 12,424,669,156
5. Step 5: Solve for x
   x = 12,424,669,156/77,944
6. Step 6: Final answer
   x = 159,405.07