Finding the Third Proportional to 67,521 and 145,508

Step by Step Solution

1. Step 1: Write the proportion equation
   67,521 : 145,508 = 145,508 : x
2. Step 2: Convert to fraction form
   67,521/145,508 = 145,508/x
3. Step 3: Cross multiply
   67,521x = 145,508 × 145,508
4. Step 4: Simplify right side
   67,521x = 21,172,578,064
5. Step 5: Solve for x
   x = 21,172,578,064/67,521
6. Step 6: Final answer
   x = 313,570.27