Finding the Third Proportional to 105,476 and 230,986

Step by Step Solution

1. Step 1: Write the proportion equation
   105,476 : 230,986 = 230,986 : x
2. Step 2: Convert to fraction form
   105,476/230,986 = 230,986/x
3. Step 3: Cross multiply
   105,476x = 230,986 × 230,986
4. Step 4: Simplify right side
   105,476x = 53,354,532,196
5. Step 5: Solve for x
   x = 53,354,532,196/105,476
6. Step 6: Final answer
   x = 505,845.24