Finding the Third Proportional to 75,238 and 168,300

Step by Step Solution

1. Step 1: Write the proportion equation
   75,238 : 168,300 = 168,300 : x
2. Step 2: Convert to fraction form
   75,238/168,300 = 168,300/x
3. Step 3: Cross multiply
   75,238x = 168,300 × 168,300
4. Step 4: Simplify right side
   75,238x = 28,324,890,000
5. Step 5: Solve for x
   x = 28,324,890,000/75,238
6. Step 6: Final answer
   x = 376,470.53