Finding the Third Proportional to 59,408 and 130,156

Step by Step Solution

1. Step 1: Write the proportion equation
   59,408 : 130,156 = 130,156 : x
2. Step 2: Convert to fraction form
   59,408/130,156 = 130,156/x
3. Step 3: Cross multiply
   59,408x = 130,156 × 130,156
4. Step 4: Simplify right side
   59,408x = 16,940,584,336
5. Step 5: Solve for x
   x = 16,940,584,336/59,408
6. Step 6: Final answer
   x = 285,156.62