Finding the Third Proportional to 71,640 and 105,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,640 : 105,286.50 = 105,286.50 : x
2. Step 2: Convert to fraction form
   71,640/105,286.50 = 105,286.50/x
3. Step 3: Cross multiply
   71,640x = 105,286.50 × 105,286.50
4. Step 4: Simplify right side
   71,640x = 11,085,247,082.25
5. Step 5: Solve for x
   x = 11,085,247,082.25/71,640
6. Step 6: Final answer
   x = 154,735.44