Finding the Third Proportional to 86,916 and 138,150

Step by Step Solution

1. Step 1: Write the proportion equation
   86,916 : 138,150 = 138,150 : x
2. Step 2: Convert to fraction form
   86,916/138,150 = 138,150/x
3. Step 3: Cross multiply
   86,916x = 138,150 × 138,150
4. Step 4: Simplify right side
   86,916x = 19,085,422,500
5. Step 5: Solve for x
   x = 19,085,422,500/86,916
6. Step 6: Final answer
   x = 219,584.69