Finding the Third Proportional to 76,364 and 116,814

Step by Step Solution

1. Step 1: Write the proportion equation
   76,364 : 116,814 = 116,814 : x
2. Step 2: Convert to fraction form
   76,364/116,814 = 116,814/x
3. Step 3: Cross multiply
   76,364x = 116,814 × 116,814
4. Step 4: Simplify right side
   76,364x = 13,645,510,596
5. Step 5: Solve for x
   x = 13,645,510,596/76,364
6. Step 6: Final answer
   x = 178,690.36