Finding the Third Proportional to 59,589 and 130,558

Step by Step Solution

1. Step 1: Write the proportion equation
   59,589 : 130,558 = 130,558 : x
2. Step 2: Convert to fraction form
   59,589/130,558 = 130,558/x
3. Step 3: Cross multiply
   59,589x = 130,558 × 130,558
4. Step 4: Simplify right side
   59,589x = 17,045,391,364
5. Step 5: Solve for x
   x = 17,045,391,364/59,589
6. Step 6: Final answer
   x = 286,049.29