Finding the Third Proportional to 114,514.50 and 150,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,514.50 : 150,586.50 = 150,586.50 : x
2. Step 2: Convert to fraction form
   114,514.50/150,586.50 = 150,586.50/x
3. Step 3: Cross multiply
   114,514.50x = 150,586.50 × 150,586.50
4. Step 4: Simplify right side
   114,514.50x = 22,676,293,982.25
5. Step 5: Solve for x
   x = 22,676,293,982.25/114,514.50
6. Step 6: Final answer
   x = 198,021.16