Finding the Third Proportional to 67,509 and 147,732

Step by Step Solution

1. Step 1: Write the proportion equation
   67,509 : 147,732 = 147,732 : x
2. Step 2: Convert to fraction form
   67,509/147,732 = 147,732/x
3. Step 3: Cross multiply
   67,509x = 147,732 × 147,732
4. Step 4: Simplify right side
   67,509x = 21,824,743,824
5. Step 5: Solve for x
   x = 21,824,743,824/67,509
6. Step 6: Final answer
   x = 323,286.43