Finding the Third Proportional to 82,419 and 111,960

Step by Step Solution

1. Step 1: Write the proportion equation
   82,419 : 111,960 = 111,960 : x
2. Step 2: Convert to fraction form
   82,419/111,960 = 111,960/x
3. Step 3: Cross multiply
   82,419x = 111,960 × 111,960
4. Step 4: Simplify right side
   82,419x = 12,535,041,600
5. Step 5: Solve for x
   x = 12,535,041,600/82,419
6. Step 6: Final answer
   x = 152,089.22