Finding the Third Proportional to 82,048.25 and 122,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,048.25 : 122,935.50 = 122,935.50 : x
2. Step 2: Convert to fraction form
   82,048.25/122,935.50 = 122,935.50/x
3. Step 3: Cross multiply
   82,048.25x = 122,935.50 × 122,935.50
4. Step 4: Simplify right side
   82,048.25x = 15,113,137,160.25
5. Step 5: Solve for x
   x = 15,113,137,160.25/82,048.25
6. Step 6: Final answer
   x = 184,198.17