Finding the Third Proportional to 71,684 and 111,222

Step by Step Solution

1. Step 1: Write the proportion equation
   71,684 : 111,222 = 111,222 : x
2. Step 2: Convert to fraction form
   71,684/111,222 = 111,222/x
3. Step 3: Cross multiply
   71,684x = 111,222 × 111,222
4. Step 4: Simplify right side
   71,684x = 12,370,333,284
5. Step 5: Solve for x
   x = 12,370,333,284/71,684
6. Step 6: Final answer
   x = 172,567.56