Finding the Third Proportional to 71,724 and 151,980

Step by Step Solution

1. Step 1: Write the proportion equation
   71,724 : 151,980 = 151,980 : x
2. Step 2: Convert to fraction form
   71,724/151,980 = 151,980/x
3. Step 3: Cross multiply
   71,724x = 151,980 × 151,980
4. Step 4: Simplify right side
   71,724x = 23,097,920,400
5. Step 5: Solve for x
   x = 23,097,920,400/71,724
6. Step 6: Final answer
   x = 322,038.93