Finding the Third Proportional to 105,233.50 and 230,840

Step by Step Solution

1. Step 1: Write the proportion equation
   105,233.50 : 230,840 = 230,840 : x
2. Step 2: Convert to fraction form
   105,233.50/230,840 = 230,840/x
3. Step 3: Cross multiply
   105,233.50x = 230,840 × 230,840
4. Step 4: Simplify right side
   105,233.50x = 53,287,105,600
5. Step 5: Solve for x
   x = 53,287,105,600/105,233.50
6. Step 6: Final answer
   x = 506,370.17