Finding the Third Proportional to 81,627.88 and 123,673.75

Step by Step Solution

1. Step 1: Write the proportion equation
   81,627.88 : 123,673.75 = 123,673.75 : x
2. Step 2: Convert to fraction form
   81,627.88/123,673.75 = 123,673.75/x
3. Step 3: Cross multiply
   81,627.88x = 123,673.75 × 123,673.75
4. Step 4: Simplify right side
   81,627.88x = 15,295,196,439.06
5. Step 5: Solve for x
   x = 15,295,196,439.06/81,627.88
6. Step 6: Final answer
   x = 187,377.12