Finding the Third Proportional to 80,194 and 113,000

Step by Step Solution

1. Step 1: Write the proportion equation
   80,194 : 113,000 = 113,000 : x
2. Step 2: Convert to fraction form
   80,194/113,000 = 113,000/x
3. Step 3: Cross multiply
   80,194x = 113,000 × 113,000
4. Step 4: Simplify right side
   80,194x = 12,769,000,000
5. Step 5: Solve for x
   x = 12,769,000,000/80,194
6. Step 6: Final answer
   x = 159,226.38