Finding the Third Proportional to 116,672 and 181,005

Step by Step Solution

1. Step 1: Write the proportion equation
   116,672 : 181,005 = 181,005 : x
2. Step 2: Convert to fraction form
   116,672/181,005 = 181,005/x
3. Step 3: Cross multiply
   116,672x = 181,005 × 181,005
4. Step 4: Simplify right side
   116,672x = 32,762,810,025
5. Step 5: Solve for x
   x = 32,762,810,025/116,672
6. Step 6: Final answer
   x = 280,811.25