Finding the Third Proportional to 86,688 and 116,208

Step by Step Solution

1. Step 1: Write the proportion equation
   86,688 : 116,208 = 116,208 : x
2. Step 2: Convert to fraction form
   86,688/116,208 = 116,208/x
3. Step 3: Cross multiply
   86,688x = 116,208 × 116,208
4. Step 4: Simplify right side
   86,688x = 13,504,299,264
5. Step 5: Solve for x
   x = 13,504,299,264/86,688
6. Step 6: Final answer
   x = 155,780.49