Finding the Third Proportional to 106,519.50 and 233,085

Step by Step Solution

1. Step 1: Write the proportion equation
   106,519.50 : 233,085 = 233,085 : x
2. Step 2: Convert to fraction form
   106,519.50/233,085 = 233,085/x
3. Step 3: Cross multiply
   106,519.50x = 233,085 × 233,085
4. Step 4: Simplify right side
   106,519.50x = 54,328,617,225
5. Step 5: Solve for x
   x = 54,328,617,225/106,519.50
6. Step 6: Final answer
   x = 510,034.47