Finding the Third Proportional to 76,772 and 112,960

Step by Step Solution

1. Step 1: Write the proportion equation
   76,772 : 112,960 = 112,960 : x
2. Step 2: Convert to fraction form
   76,772/112,960 = 112,960/x
3. Step 3: Cross multiply
   76,772x = 112,960 × 112,960
4. Step 4: Simplify right side
   76,772x = 12,759,961,600
5. Step 5: Solve for x
   x = 12,759,961,600/76,772
6. Step 6: Final answer
   x = 166,205.93