Finding the Third Proportional to 51,485 and 82,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,485 : 82,223.50 = 82,223.50 : x
2. Step 2: Convert to fraction form
   51,485/82,223.50 = 82,223.50/x
3. Step 3: Cross multiply
   51,485x = 82,223.50 × 82,223.50
4. Step 4: Simplify right side
   51,485x = 6,760,703,952.25
5. Step 5: Solve for x
   x = 6,760,703,952.25/51,485
6. Step 6: Final answer
   x = 131,314.05