Finding the Third Proportional to 116,573.50 and 180,004

Step by Step Solution

1. Step 1: Write the proportion equation
   116,573.50 : 180,004 = 180,004 : x
2. Step 2: Convert to fraction form
   116,573.50/180,004 = 180,004/x
3. Step 3: Cross multiply
   116,573.50x = 180,004 × 180,004
4. Step 4: Simplify right side
   116,573.50x = 32,401,440,016
5. Step 5: Solve for x
   x = 32,401,440,016/116,573.50
6. Step 6: Final answer
   x = 277,948.59