Finding the Third Proportional to 81,952 and 123,681.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,952 : 123,681.75 = 123,681.75 : x
2. Step 2: Convert to fraction form
   81,952/123,681.75 = 123,681.75/x
3. Step 3: Cross multiply
   81,952x = 123,681.75 × 123,681.75
4. Step 4: Simplify right side
   81,952x = 15,297,175,283.06
5. Step 5: Solve for x
   x = 15,297,175,283.06/81,952
6. Step 6: Final answer
   x = 186,660.18