Finding the Third Proportional to 81,790 and 123,091

Step by Step Solution

1. Step 1: Write the proportion equation
   81,790 : 123,091 = 123,091 : x
2. Step 2: Convert to fraction form
   81,790/123,091 = 123,091/x
3. Step 3: Cross multiply
   81,790x = 123,091 × 123,091
4. Step 4: Simplify right side
   81,790x = 15,151,394,281
5. Step 5: Solve for x
   x = 15,151,394,281/81,790
6. Step 6: Final answer
   x = 185,247.52