Finding the Third Proportional to 82,313.50 and 122,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,313.50 : 122,928.50 = 122,928.50 : x
2. Step 2: Convert to fraction form
   82,313.50/122,928.50 = 122,928.50/x
3. Step 3: Cross multiply
   82,313.50x = 122,928.50 × 122,928.50
4. Step 4: Simplify right side
   82,313.50x = 15,111,416,112.25
5. Step 5: Solve for x
   x = 15,111,416,112.25/82,313.50
6. Step 6: Final answer
   x = 183,583.69