Finding the Third Proportional to 101,648 and 222,926

Step by Step Solution

1. Step 1: Write the proportion equation
   101,648 : 222,926 = 222,926 : x
2. Step 2: Convert to fraction form
   101,648/222,926 = 222,926/x
3. Step 3: Cross multiply
   101,648x = 222,926 × 222,926
4. Step 4: Simplify right side
   101,648x = 49,696,001,476
5. Step 5: Solve for x
   x = 49,696,001,476/101,648
6. Step 6: Final answer
   x = 488,902.90