Finding the Third Proportional to 72,212 and 111,596

Step by Step Solution

1. Step 1: Write the proportion equation
   72,212 : 111,596 = 111,596 : x
2. Step 2: Convert to fraction form
   72,212/111,596 = 111,596/x
3. Step 3: Cross multiply
   72,212x = 111,596 × 111,596
4. Step 4: Simplify right side
   72,212x = 12,453,667,216
5. Step 5: Solve for x
   x = 12,453,667,216/72,212
6. Step 6: Final answer
   x = 172,459.80