Finding the Third Proportional to 120,846 and 137,856

Step by Step Solution

1. Step 1: Write the proportion equation
   120,846 : 137,856 = 137,856 : x
2. Step 2: Convert to fraction form
   120,846/137,856 = 137,856/x
3. Step 3: Cross multiply
   120,846x = 137,856 × 137,856
4. Step 4: Simplify right side
   120,846x = 19,004,276,736
5. Step 5: Solve for x
   x = 19,004,276,736/120,846
6. Step 6: Final answer
   x = 157,260.29