Finding the Third Proportional to 67,536 and 145,460

Step by Step Solution

1. Step 1: Write the proportion equation
   67,536 : 145,460 = 145,460 : x
2. Step 2: Convert to fraction form
   67,536/145,460 = 145,460/x
3. Step 3: Cross multiply
   67,536x = 145,460 × 145,460
4. Step 4: Simplify right side
   67,536x = 21,158,611,600
5. Step 5: Solve for x
   x = 21,158,611,600/67,536
6. Step 6: Final answer
   x = 313,293.82