Finding the Third Proportional to 59,198 and 83,274

Step by Step Solution

1. Step 1: Write the proportion equation
   59,198 : 83,274 = 83,274 : x
2. Step 2: Convert to fraction form
   59,198/83,274 = 83,274/x
3. Step 3: Cross multiply
   59,198x = 83,274 × 83,274
4. Step 4: Simplify right side
   59,198x = 6,934,559,076
5. Step 5: Solve for x
   x = 6,934,559,076/59,198
6. Step 6: Final answer
   x = 117,141.78