Finding the Third Proportional to 81,912 and 123,447

Step by Step Solution

1. Step 1: Write the proportion equation
   81,912 : 123,447 = 123,447 : x
2. Step 2: Convert to fraction form
   81,912/123,447 = 123,447/x
3. Step 3: Cross multiply
   81,912x = 123,447 × 123,447
4. Step 4: Simplify right side
   81,912x = 15,239,161,809
5. Step 5: Solve for x
   x = 15,239,161,809/81,912
6. Step 6: Final answer
   x = 186,043.09