Finding the Third Proportional to 82,015.50 and 122,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,015.50 : 122,593.50 = 122,593.50 : x
2. Step 2: Convert to fraction form
   82,015.50/122,593.50 = 122,593.50/x
3. Step 3: Cross multiply
   82,015.50x = 122,593.50 × 122,593.50
4. Step 4: Simplify right side
   82,015.50x = 15,029,166,242.25
5. Step 5: Solve for x
   x = 15,029,166,242.25/82,015.50
6. Step 6: Final answer
   x = 183,247.88