Finding the Third Proportional to 100,858 and 137,042

Step by Step Solution

1. Step 1: Write the proportion equation
   100,858 : 137,042 = 137,042 : x
2. Step 2: Convert to fraction form
   100,858/137,042 = 137,042/x
3. Step 3: Cross multiply
   100,858x = 137,042 × 137,042
4. Step 4: Simplify right side
   100,858x = 18,780,509,764
5. Step 5: Solve for x
   x = 18,780,509,764/100,858
6. Step 6: Final answer
   x = 186,207.44