Finding the Third Proportional to 82,146.75 and 123,584.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,146.75 : 123,584.25 = 123,584.25 : x
2. Step 2: Convert to fraction form
   82,146.75/123,584.25 = 123,584.25/x
3. Step 3: Cross multiply
   82,146.75x = 123,584.25 × 123,584.25
4. Step 4: Simplify right side
   82,146.75x = 15,273,066,848.06
5. Step 5: Solve for x
   x = 15,273,066,848.06/82,146.75
6. Step 6: Final answer
   x = 185,924.18