Finding the Third Proportional to 65,816 and 89,976

Step by Step Solution

1. Step 1: Write the proportion equation
   65,816 : 89,976 = 89,976 : x
2. Step 2: Convert to fraction form
   65,816/89,976 = 89,976/x
3. Step 3: Cross multiply
   65,816x = 89,976 × 89,976
4. Step 4: Simplify right side
   65,816x = 8,095,680,576
5. Step 5: Solve for x
   x = 8,095,680,576/65,816
6. Step 6: Final answer
   x = 123,004.75