Finding the Third Proportional to 82,462.50 and 123,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,462.50 : 123,205.50 = 123,205.50 : x
2. Step 2: Convert to fraction form
   82,462.50/123,205.50 = 123,205.50/x
3. Step 3: Cross multiply
   82,462.50x = 123,205.50 × 123,205.50
4. Step 4: Simplify right side
   82,462.50x = 15,179,595,230.25
5. Step 5: Solve for x
   x = 15,179,595,230.25/82,462.50
6. Step 6: Final answer
   x = 184,078.77