Finding the Third Proportional to 81,633.94 and 123,681.38

Step by Step Solution

1. Step 1: Write the proportion equation
   81,633.94 : 123,681.38 = 123,681.38 : x
2. Step 2: Convert to fraction form
   81,633.94/123,681.38 = 123,681.38/x
3. Step 3: Cross multiply
   81,633.94x = 123,681.38 × 123,681.38
4. Step 4: Simplify right side
   81,633.94x = 15,297,082,521.89
5. Step 5: Solve for x
   x = 15,297,082,521.89/81,633.94
6. Step 6: Final answer
   x = 187,386.31