Finding the Third Proportional to 81,858 and 123,090

Step by Step Solution

1. Step 1: Write the proportion equation
   81,858 : 123,090 = 123,090 : x
2. Step 2: Convert to fraction form
   81,858/123,090 = 123,090/x
3. Step 3: Cross multiply
   81,858x = 123,090 × 123,090
4. Step 4: Simplify right side
   81,858x = 15,151,148,100
5. Step 5: Solve for x
   x = 15,151,148,100/81,858
6. Step 6: Final answer
   x = 185,090.62