Finding the Third Proportional to 82,253.25 and 123,986.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,253.25 : 123,986.25 = 123,986.25 : x
2. Step 2: Convert to fraction form
   82,253.25/123,986.25 = 123,986.25/x
3. Step 3: Cross multiply
   82,253.25x = 123,986.25 × 123,986.25
4. Step 4: Simplify right side
   82,253.25x = 15,372,590,189.06
5. Step 5: Solve for x
   x = 15,372,590,189.06/82,253.25
6. Step 6: Final answer
   x = 186,893.41