Finding the Third Proportional to 67,509 and 147,728.25

Step by Step Solution

1. Step 1: Write the proportion equation
   67,509 : 147,728.25 = 147,728.25 : x
2. Step 2: Convert to fraction form
   67,509/147,728.25 = 147,728.25/x
3. Step 3: Cross multiply
   67,509x = 147,728.25 × 147,728.25
4. Step 4: Simplify right side
   67,509x = 21,823,635,848.06
5. Step 5: Solve for x
   x = 21,823,635,848.06/67,509
6. Step 6: Final answer
   x = 323,270.02