Finding the Third Proportional to 55,147.50 and 82,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,147.50 : 82,309.50 = 82,309.50 : x
2. Step 2: Convert to fraction form
   55,147.50/82,309.50 = 82,309.50/x
3. Step 3: Cross multiply
   55,147.50x = 82,309.50 × 82,309.50
4. Step 4: Simplify right side
   55,147.50x = 6,774,853,790.25
5. Step 5: Solve for x
   x = 6,774,853,790.25/55,147.50
6. Step 6: Final answer
   x = 122,849.70