Finding the Third Proportional to 72,272 and 111,224

Step by Step Solution

1. Step 1: Write the proportion equation
   72,272 : 111,224 = 111,224 : x
2. Step 2: Convert to fraction form
   72,272/111,224 = 111,224/x
3. Step 3: Cross multiply
   72,272x = 111,224 × 111,224
4. Step 4: Simplify right side
   72,272x = 12,370,778,176
5. Step 5: Solve for x
   x = 12,370,778,176/72,272
6. Step 6: Final answer
   x = 171,169.72