Finding the Third Proportional to 72,194 and 111,573

Step by Step Solution

1. Step 1: Write the proportion equation
   72,194 : 111,573 = 111,573 : x
2. Step 2: Convert to fraction form
   72,194/111,573 = 111,573/x
3. Step 3: Cross multiply
   72,194x = 111,573 × 111,573
4. Step 4: Simplify right side
   72,194x = 12,448,534,329
5. Step 5: Solve for x
   x = 12,448,534,329/72,194
6. Step 6: Final answer
   x = 172,431.70