Finding the Third Proportional to 71,646 and 111,312

Step by Step Solution

1. Step 1: Write the proportion equation
   71,646 : 111,312 = 111,312 : x
2. Step 2: Convert to fraction form
   71,646/111,312 = 111,312/x
3. Step 3: Cross multiply
   71,646x = 111,312 × 111,312
4. Step 4: Simplify right side
   71,646x = 12,390,361,344
5. Step 5: Solve for x
   x = 12,390,361,344/71,646
6. Step 6: Final answer
   x = 172,938.63