Finding the Third Proportional to 116,672 and 180,996

Step by Step Solution

1. Step 1: Write the proportion equation
   116,672 : 180,996 = 180,996 : x
2. Step 2: Convert to fraction form
   116,672/180,996 = 180,996/x
3. Step 3: Cross multiply
   116,672x = 180,996 × 180,996
4. Step 4: Simplify right side
   116,672x = 32,759,552,016
5. Step 5: Solve for x
   x = 32,759,552,016/116,672
6. Step 6: Final answer
   x = 280,783.32