Finding the Third Proportional to 114,640.50 and 185,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,640.50 : 185,719.50 = 185,719.50 : x
2. Step 2: Convert to fraction form
   114,640.50/185,719.50 = 185,719.50/x
3. Step 3: Cross multiply
   114,640.50x = 185,719.50 × 185,719.50
4. Step 4: Simplify right side
   114,640.50x = 34,491,732,680.25
5. Step 5: Solve for x
   x = 34,491,732,680.25/114,640.50
6. Step 6: Final answer
   x = 300,868.65