Finding the Third Proportional to 77,760 and 116,618

Step by Step Solution

1. Step 1: Write the proportion equation
   77,760 : 116,618 = 116,618 : x
2. Step 2: Convert to fraction form
   77,760/116,618 = 116,618/x
3. Step 3: Cross multiply
   77,760x = 116,618 × 116,618
4. Step 4: Simplify right side
   77,760x = 13,599,757,924
5. Step 5: Solve for x
   x = 13,599,757,924/77,760
6. Step 6: Final answer
   x = 174,894.01