Finding the Third Proportional to 77,944 and 114,000

Step by Step Solution

1. Step 1: Write the proportion equation
   77,944 : 114,000 = 114,000 : x
2. Step 2: Convert to fraction form
   77,944/114,000 = 114,000/x
3. Step 3: Cross multiply
   77,944x = 114,000 × 114,000
4. Step 4: Simplify right side
   77,944x = 12,996,000,000
5. Step 5: Solve for x
   x = 12,996,000,000/77,944
6. Step 6: Final answer
   x = 166,735.09