Finding the Third Proportional to 67,182 and 102,384

Step by Step Solution

1. Step 1: Write the proportion equation
   67,182 : 102,384 = 102,384 : x
2. Step 2: Convert to fraction form
   67,182/102,384 = 102,384/x
3. Step 3: Cross multiply
   67,182x = 102,384 × 102,384
4. Step 4: Simplify right side
   67,182x = 10,482,483,456
5. Step 5: Solve for x
   x = 10,482,483,456/67,182
6. Step 6: Final answer
   x = 156,031.13