Finding the Third Proportional to 81,627.50 and 123,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,627.50 : 123,673.50 = 123,673.50 : x
2. Step 2: Convert to fraction form
   81,627.50/123,673.50 = 123,673.50/x
3. Step 3: Cross multiply
   81,627.50x = 123,673.50 × 123,673.50
4. Step 4: Simplify right side
   81,627.50x = 15,295,134,602.25
5. Step 5: Solve for x
   x = 15,295,134,602.25/81,627.50
6. Step 6: Final answer
   x = 187,377.23