Finding the Third Proportional to 75,478 and 111,020

Step by Step Solution

1. Step 1: Write the proportion equation
   75,478 : 111,020 = 111,020 : x
2. Step 2: Convert to fraction form
   75,478/111,020 = 111,020/x
3. Step 3: Cross multiply
   75,478x = 111,020 × 111,020
4. Step 4: Simplify right side
   75,478x = 12,325,440,400
5. Step 5: Solve for x
   x = 12,325,440,400/75,478
6. Step 6: Final answer
   x = 163,298.45