Finding the Third Proportional to 86,256 and 137,160

Step by Step Solution

1. Step 1: Write the proportion equation
   86,256 : 137,160 = 137,160 : x
2. Step 2: Convert to fraction form
   86,256/137,160 = 137,160/x
3. Step 3: Cross multiply
   86,256x = 137,160 × 137,160
4. Step 4: Simplify right side
   86,256x = 18,812,865,600
5. Step 5: Solve for x
   x = 18,812,865,600/86,256
6. Step 6: Final answer
   x = 218,105.01