Finding the Third Proportional to 109,092 and 166,806

Step by Step Solution

1. Step 1: Write the proportion equation
   109,092 : 166,806 = 166,806 : x
2. Step 2: Convert to fraction form
   109,092/166,806 = 166,806/x
3. Step 3: Cross multiply
   109,092x = 166,806 × 166,806
4. Step 4: Simplify right side
   109,092x = 27,824,241,636
5. Step 5: Solve for x
   x = 27,824,241,636/109,092
6. Step 6: Final answer
   x = 255,053.00