Finding the Third Proportional to 81,849.23 and 123,077.60

Step by Step Solution

1. Step 1: Write the proportion equation
   81,849.23 : 123,077.60 = 123,077.60 : x
2. Step 2: Convert to fraction form
   81,849.23/123,077.60 = 123,077.60/x
3. Step 3: Cross multiply
   81,849.23x = 123,077.60 × 123,077.60
4. Step 4: Simplify right side
   81,849.23x = 15,148,096,006.38
5. Step 5: Solve for x
   x = 15,148,096,006.38/81,849.23
6. Step 6: Final answer
   x = 185,073.15