Finding the Third Proportional to 81,852.66 and 123,083.63

Step by Step Solution

1. Step 1: Write the proportion equation
   81,852.66 : 123,083.63 = 123,083.63 : x
2. Step 2: Convert to fraction form
   81,852.66/123,083.63 = 123,083.63/x
3. Step 3: Cross multiply
   81,852.66x = 123,083.63 × 123,083.63
4. Step 4: Simplify right side
   81,852.66x = 15,149,578,743.14
5. Step 5: Solve for x
   x = 15,149,578,743.14/81,852.66
6. Step 6: Final answer
   x = 185,083.53