Finding the Third Proportional to 76,764 and 117,012

Step by Step Solution

1. Step 1: Write the proportion equation
   76,764 : 117,012 = 117,012 : x
2. Step 2: Convert to fraction form
   76,764/117,012 = 117,012/x
3. Step 3: Cross multiply
   76,764x = 117,012 × 117,012
4. Step 4: Simplify right side
   76,764x = 13,691,808,144
5. Step 5: Solve for x
   x = 13,691,808,144/76,764
6. Step 6: Final answer
   x = 178,362.36