Finding the Third Proportional to 81,902.25 and 123,429.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,902.25 : 123,429.75 = 123,429.75 : x
2. Step 2: Convert to fraction form
   81,902.25/123,429.75 = 123,429.75/x
3. Step 3: Cross multiply
   81,902.25x = 123,429.75 × 123,429.75
4. Step 4: Simplify right side
   81,902.25x = 15,234,903,185.06
5. Step 5: Solve for x
   x = 15,234,903,185.06/81,902.25
6. Step 6: Final answer
   x = 186,013.24