Finding the Third Proportional to 114,114 and 179,004

Step by Step Solution

1. Step 1: Write the proportion equation
   114,114 : 179,004 = 179,004 : x
2. Step 2: Convert to fraction form
   114,114/179,004 = 179,004/x
3. Step 3: Cross multiply
   114,114x = 179,004 × 179,004
4. Step 4: Simplify right side
   114,114x = 32,042,432,016
5. Step 5: Solve for x
   x = 32,042,432,016/114,114
6. Step 6: Final answer
   x = 280,793.17