Finding the Third Proportional to 101,916 and 222,342

Step by Step Solution

1. Step 1: Write the proportion equation
   101,916 : 222,342 = 222,342 : x
2. Step 2: Convert to fraction form
   101,916/222,342 = 222,342/x
3. Step 3: Cross multiply
   101,916x = 222,342 × 222,342
4. Step 4: Simplify right side
   101,916x = 49,435,964,964
5. Step 5: Solve for x
   x = 49,435,964,964/101,916
6. Step 6: Final answer
   x = 485,065.79