Finding the Third Proportional to 59,096 and 136,670

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 136,670 = 136,670 : x
2. Step 2: Convert to fraction form
   59,096/136,670 = 136,670/x
3. Step 3: Cross multiply
   59,096x = 136,670 × 136,670
4. Step 4: Simplify right side
   59,096x = 18,678,688,900
5. Step 5: Solve for x
   x = 18,678,688,900/59,096
6. Step 6: Final answer
   x = 316,073.66