Finding the Third Proportional to 76,334 and 116,766

Step by Step Solution

1. Step 1: Write the proportion equation
   76,334 : 116,766 = 116,766 : x
2. Step 2: Convert to fraction form
   76,334/116,766 = 116,766/x
3. Step 3: Cross multiply
   76,334x = 116,766 × 116,766
4. Step 4: Simplify right side
   76,334x = 13,634,298,756
5. Step 5: Solve for x
   x = 13,634,298,756/76,334
6. Step 6: Final answer
   x = 178,613.71