Finding the Third Proportional to 80,926 and 165,060

Step by Step Solution

1. Step 1: Write the proportion equation
   80,926 : 165,060 = 165,060 : x
2. Step 2: Convert to fraction form
   80,926/165,060 = 165,060/x
3. Step 3: Cross multiply
   80,926x = 165,060 × 165,060
4. Step 4: Simplify right side
   80,926x = 27,244,803,600
5. Step 5: Solve for x
   x = 27,244,803,600/80,926
6. Step 6: Final answer
   x = 336,663.17