Finding the Third Proportional to 40,724 and 89,732

Step by Step Solution

1. Step 1: Write the proportion equation
   40,724 : 89,732 = 89,732 : x
2. Step 2: Convert to fraction form
   40,724/89,732 = 89,732/x
3. Step 3: Cross multiply
   40,724x = 89,732 × 89,732
4. Step 4: Simplify right side
   40,724x = 8,051,831,824
5. Step 5: Solve for x
   x = 8,051,831,824/40,724
6. Step 6: Final answer
   x = 197,717.12