Finding the Third Proportional to 77,686 and 116,486

Step by Step Solution

1. Step 1: Write the proportion equation
   77,686 : 116,486 = 116,486 : x
2. Step 2: Convert to fraction form
   77,686/116,486 = 116,486/x
3. Step 3: Cross multiply
   77,686x = 116,486 × 116,486
4. Step 4: Simplify right side
   77,686x = 13,568,988,196
5. Step 5: Solve for x
   x = 13,568,988,196/77,686
6. Step 6: Final answer
   x = 174,664.52