Finding the Third Proportional to 67,534 and 145,456

Step by Step Solution

1. Step 1: Write the proportion equation
   67,534 : 145,456 = 145,456 : x
2. Step 2: Convert to fraction form
   67,534/145,456 = 145,456/x
3. Step 3: Cross multiply
   67,534x = 145,456 × 145,456
4. Step 4: Simplify right side
   67,534x = 21,157,447,936
5. Step 5: Solve for x
   x = 21,157,447,936/67,534
6. Step 6: Final answer
   x = 313,285.87