Finding the Third Proportional to 77,760 and 116,802

Step by Step Solution

1. Step 1: Write the proportion equation
   77,760 : 116,802 = 116,802 : x
2. Step 2: Convert to fraction form
   77,760/116,802 = 116,802/x
3. Step 3: Cross multiply
   77,760x = 116,802 × 116,802
4. Step 4: Simplify right side
   77,760x = 13,642,707,204
5. Step 5: Solve for x
   x = 13,642,707,204/77,760
6. Step 6: Final answer
   x = 175,446.34