Finding the Third Proportional to 107,714 and 230,091

Step by Step Solution

1. Step 1: Write the proportion equation
   107,714 : 230,091 = 230,091 : x
2. Step 2: Convert to fraction form
   107,714/230,091 = 230,091/x
3. Step 3: Cross multiply
   107,714x = 230,091 × 230,091
4. Step 4: Simplify right side
   107,714x = 52,941,868,281
5. Step 5: Solve for x
   x = 52,941,868,281/107,714
6. Step 6: Final answer
   x = 491,504.06