Finding the Third Proportional to 72,208 and 111,590

Step by Step Solution

1. Step 1: Write the proportion equation
   72,208 : 111,590 = 111,590 : x
2. Step 2: Convert to fraction form
   72,208/111,590 = 111,590/x
3. Step 3: Cross multiply
   72,208x = 111,590 × 111,590
4. Step 4: Simplify right side
   72,208x = 12,452,328,100
5. Step 5: Solve for x
   x = 12,452,328,100/72,208
6. Step 6: Final answer
   x = 172,450.81