Finding the Third Proportional to 67,536 and 144,186

Step by Step Solution

1. Step 1: Write the proportion equation
   67,536 : 144,186 = 144,186 : x
2. Step 2: Convert to fraction form
   67,536/144,186 = 144,186/x
3. Step 3: Cross multiply
   67,536x = 144,186 × 144,186
4. Step 4: Simplify right side
   67,536x = 20,789,602,596
5. Step 5: Solve for x
   x = 20,789,602,596/67,536
6. Step 6: Final answer
   x = 307,829.94