Finding the Third Proportional to 76,680 and 116,208

Step by Step Solution

1. Step 1: Write the proportion equation
   76,680 : 116,208 = 116,208 : x
2. Step 2: Convert to fraction form
   76,680/116,208 = 116,208/x
3. Step 3: Cross multiply
   76,680x = 116,208 × 116,208
4. Step 4: Simplify right side
   76,680x = 13,504,299,264
5. Step 5: Solve for x
   x = 13,504,299,264/76,680
6. Step 6: Final answer
   x = 176,112.41