Finding the Third Proportional to 76,758 and 116,994

Step by Step Solution

1. Step 1: Write the proportion equation
   76,758 : 116,994 = 116,994 : x
2. Step 2: Convert to fraction form
   76,758/116,994 = 116,994/x
3. Step 3: Cross multiply
   76,758x = 116,994 × 116,994
4. Step 4: Simplify right side
   76,758x = 13,687,596,036
5. Step 5: Solve for x
   x = 13,687,596,036/76,758
6. Step 6: Final answer
   x = 178,321.43