Finding the Third Proportional to 82,655.25 and 123,662.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,655.25 : 123,662.25 = 123,662.25 : x
2. Step 2: Convert to fraction form
   82,655.25/123,662.25 = 123,662.25/x
3. Step 3: Cross multiply
   82,655.25x = 123,662.25 × 123,662.25
4. Step 4: Simplify right side
   82,655.25x = 15,292,352,075.06
5. Step 5: Solve for x
   x = 15,292,352,075.06/82,655.25
6. Step 6: Final answer
   x = 185,013.68