Finding the Third Proportional to 83,834 and 180,732

Step by Step Solution

1. Step 1: Write the proportion equation
   83,834 : 180,732 = 180,732 : x
2. Step 2: Convert to fraction form
   83,834/180,732 = 180,732/x
3. Step 3: Cross multiply
   83,834x = 180,732 × 180,732
4. Step 4: Simplify right side
   83,834x = 32,664,055,824
5. Step 5: Solve for x
   x = 32,664,055,824/83,834
6. Step 6: Final answer
   x = 389,627.79