Finding the Third Proportional to 83,664 and 120,960

Step by Step Solution

1. Step 1: Write the proportion equation
   83,664 : 120,960 = 120,960 : x
2. Step 2: Convert to fraction form
   83,664/120,960 = 120,960/x
3. Step 3: Cross multiply
   83,664x = 120,960 × 120,960
4. Step 4: Simplify right side
   83,664x = 14,631,321,600
5. Step 5: Solve for x
   x = 14,631,321,600/83,664
6. Step 6: Final answer
   x = 174,881.93