Finding the Third Proportional to 105,991 and 230,389

Step by Step Solution

1. Step 1: Write the proportion equation
   105,991 : 230,389 = 230,389 : x
2. Step 2: Convert to fraction form
   105,991/230,389 = 230,389/x
3. Step 3: Cross multiply
   105,991x = 230,389 × 230,389
4. Step 4: Simplify right side
   105,991x = 53,079,091,321
5. Step 5: Solve for x
   x = 53,079,091,321/105,991
6. Step 6: Final answer
   x = 500,788.66