Finding the Third Proportional to 78,732 and 145,980

Step by Step Solution

1. Step 1: Write the proportion equation
   78,732 : 145,980 = 145,980 : x
2. Step 2: Convert to fraction form
   78,732/145,980 = 145,980/x
3. Step 3: Cross multiply
   78,732x = 145,980 × 145,980
4. Step 4: Simplify right side
   78,732x = 21,310,160,400
5. Step 5: Solve for x
   x = 21,310,160,400/78,732
6. Step 6: Final answer
   x = 270,667.08