Finding the Third Proportional to 76,505 and 116,949

Step by Step Solution

1. Step 1: Write the proportion equation
   76,505 : 116,949 = 116,949 : x
2. Step 2: Convert to fraction form
   76,505/116,949 = 116,949/x
3. Step 3: Cross multiply
   76,505x = 116,949 × 116,949
4. Step 4: Simplify right side
   76,505x = 13,677,068,601
5. Step 5: Solve for x
   x = 13,677,068,601/76,505
6. Step 6: Final answer
   x = 178,773.53