Finding the Third Proportional to 82,120.50 and 123,546

Step by Step Solution

1. Step 1: Write the proportion equation
   82,120.50 : 123,546 = 123,546 : x
2. Step 2: Convert to fraction form
   82,120.50/123,546 = 123,546/x
3. Step 3: Cross multiply
   82,120.50x = 123,546 × 123,546
4. Step 4: Simplify right side
   82,120.50x = 15,263,614,116
5. Step 5: Solve for x
   x = 15,263,614,116/82,120.50
6. Step 6: Final answer
   x = 185,868.50