Finding the Third Proportional to 72,609 and 116,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,609 : 116,974.50 = 116,974.50 : x
2. Step 2: Convert to fraction form
   72,609/116,974.50 = 116,974.50/x
3. Step 3: Cross multiply
   72,609x = 116,974.50 × 116,974.50
4. Step 4: Simplify right side
   72,609x = 13,683,033,650.25
5. Step 5: Solve for x
   x = 13,683,033,650.25/72,609
6. Step 6: Final answer
   x = 188,448.18