Finding the Third Proportional to 59,789 and 128,164

Step by Step Solution

1. Step 1: Write the proportion equation
   59,789 : 128,164 = 128,164 : x
2. Step 2: Convert to fraction form
   59,789/128,164 = 128,164/x
3. Step 3: Cross multiply
   59,789x = 128,164 × 128,164
4. Step 4: Simplify right side
   59,789x = 16,426,010,896
5. Step 5: Solve for x
   x = 16,426,010,896/59,789
6. Step 6: Final answer
   x = 274,732.99