Finding the Third Proportional to 59,736 and 130,164

Step by Step Solution

1. Step 1: Write the proportion equation
   59,736 : 130,164 = 130,164 : x
2. Step 2: Convert to fraction form
   59,736/130,164 = 130,164/x
3. Step 3: Cross multiply
   59,736x = 130,164 × 130,164
4. Step 4: Simplify right side
   59,736x = 16,942,666,896
5. Step 5: Solve for x
   x = 16,942,666,896/59,736
6. Step 6: Final answer
   x = 283,625.73