Finding the Third Proportional to 82,014.75 and 133,921.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,014.75 : 133,921.50 = 133,921.50 : x
2. Step 2: Convert to fraction form
   82,014.75/133,921.50 = 133,921.50/x
3. Step 3: Cross multiply
   82,014.75x = 133,921.50 × 133,921.50
4. Step 4: Simplify right side
   82,014.75x = 17,934,968,162.25
5. Step 5: Solve for x
   x = 17,934,968,162.25/82,014.75
6. Step 6: Final answer
   x = 218,679.79