Finding the Third Proportional to 93,674 and 137,005

Step by Step Solution

1. Step 1: Write the proportion equation
   93,674 : 137,005 = 137,005 : x
2. Step 2: Convert to fraction form
   93,674/137,005 = 137,005/x
3. Step 3: Cross multiply
   93,674x = 137,005 × 137,005
4. Step 4: Simplify right side
   93,674x = 18,770,370,025
5. Step 5: Solve for x
   x = 18,770,370,025/93,674
6. Step 6: Final answer
   x = 200,379.72