Finding the Third Proportional to 55,849.50 and 82,680.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,849.50 : 82,680.75 = 82,680.75 : x
2. Step 2: Convert to fraction form
   55,849.50/82,680.75 = 82,680.75/x
3. Step 3: Cross multiply
   55,849.50x = 82,680.75 × 82,680.75
4. Step 4: Simplify right side
   55,849.50x = 6,836,106,420.56
5. Step 5: Solve for x
   x = 6,836,106,420.56/55,849.50
6. Step 6: Final answer
   x = 122,402.29