Finding the Third Proportional to 82,400 and 111,933

Step by Step Solution

1. Step 1: Write the proportion equation
   82,400 : 111,933 = 111,933 : x
2. Step 2: Convert to fraction form
   82,400/111,933 = 111,933/x
3. Step 3: Cross multiply
   82,400x = 111,933 × 111,933
4. Step 4: Simplify right side
   82,400x = 12,528,996,489
5. Step 5: Solve for x
   x = 12,528,996,489/82,400
6. Step 6: Final answer
   x = 152,050.93