Finding the Third Proportional to 105,158.50 and 231,344

Step by Step Solution

1. Step 1: Write the proportion equation
   105,158.50 : 231,344 = 231,344 : x
2. Step 2: Convert to fraction form
   105,158.50/231,344 = 231,344/x
3. Step 3: Cross multiply
   105,158.50x = 231,344 × 231,344
4. Step 4: Simplify right side
   105,158.50x = 53,520,046,336
5. Step 5: Solve for x
   x = 53,520,046,336/105,158.50
6. Step 6: Final answer
   x = 508,946.46