Finding the Third Proportional to 86,640 and 137,846

Step by Step Solution

1. Step 1: Write the proportion equation
   86,640 : 137,846 = 137,846 : x
2. Step 2: Convert to fraction form
   86,640/137,846 = 137,846/x
3. Step 3: Cross multiply
   86,640x = 137,846 × 137,846
4. Step 4: Simplify right side
   86,640x = 19,001,519,716
5. Step 5: Solve for x
   x = 19,001,519,716/86,640
6. Step 6: Final answer
   x = 219,315.79