Finding the Third Proportional to 81,838.75 and 123,062.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,838.75 : 123,062.25 = 123,062.25 : x
2. Step 2: Convert to fraction form
   81,838.75/123,062.25 = 123,062.25/x
3. Step 3: Cross multiply
   81,838.75x = 123,062.25 × 123,062.25
4. Step 4: Simplify right side
   81,838.75x = 15,144,317,375.06
5. Step 5: Solve for x
   x = 15,144,317,375.06/81,838.75
6. Step 6: Final answer
   x = 185,050.69