Finding the Third Proportional to 59,678 and 130,012

Step by Step Solution

1. Step 1: Write the proportion equation
   59,678 : 130,012 = 130,012 : x
2. Step 2: Convert to fraction form
   59,678/130,012 = 130,012/x
3. Step 3: Cross multiply
   59,678x = 130,012 × 130,012
4. Step 4: Simplify right side
   59,678x = 16,903,120,144
5. Step 5: Solve for x
   x = 16,903,120,144/59,678
6. Step 6: Final answer
   x = 283,238.72