Finding the Third Proportional to 111,224 and 172,366

Step by Step Solution

1. Step 1: Write the proportion equation
   111,224 : 172,366 = 172,366 : x
2. Step 2: Convert to fraction form
   111,224/172,366 = 172,366/x
3. Step 3: Cross multiply
   111,224x = 172,366 × 172,366
4. Step 4: Simplify right side
   111,224x = 29,710,037,956
5. Step 5: Solve for x
   x = 29,710,037,956/111,224
6. Step 6: Final answer
   x = 267,118.95