Finding the Third Proportional to 109,224 and 195,714

Step by Step Solution

1. Step 1: Write the proportion equation
   109,224 : 195,714 = 195,714 : x
2. Step 2: Convert to fraction form
   109,224/195,714 = 195,714/x
3. Step 3: Cross multiply
   109,224x = 195,714 × 195,714
4. Step 4: Simplify right side
   109,224x = 38,303,969,796
5. Step 5: Solve for x
   x = 38,303,969,796/109,224
6. Step 6: Final answer
   x = 350,691.88