Finding the Third Proportional to 105,181.50 and 230,775

Step by Step Solution

1. Step 1: Write the proportion equation
   105,181.50 : 230,775 = 230,775 : x
2. Step 2: Convert to fraction form
   105,181.50/230,775 = 230,775/x
3. Step 3: Cross multiply
   105,181.50x = 230,775 × 230,775
4. Step 4: Simplify right side
   105,181.50x = 53,257,100,625
5. Step 5: Solve for x
   x = 53,257,100,625/105,181.50
6. Step 6: Final answer
   x = 506,335.25