Finding the Third Proportional to 105,781.50 and 230,853

Step by Step Solution

1. Step 1: Write the proportion equation
   105,781.50 : 230,853 = 230,853 : x
2. Step 2: Convert to fraction form
   105,781.50/230,853 = 230,853/x
3. Step 3: Cross multiply
   105,781.50x = 230,853 × 230,853
4. Step 4: Simplify right side
   105,781.50x = 53,293,107,609
5. Step 5: Solve for x
   x = 53,293,107,609/105,781.50
6. Step 6: Final answer
   x = 503,803.67