Finding the Third Proportional to 101,526 and 222,796

Step by Step Solution

1. Step 1: Write the proportion equation
   101,526 : 222,796 = 222,796 : x
2. Step 2: Convert to fraction form
   101,526/222,796 = 222,796/x
3. Step 3: Cross multiply
   101,526x = 222,796 × 222,796
4. Step 4: Simplify right side
   101,526x = 49,638,057,616
5. Step 5: Solve for x
   x = 49,638,057,616/101,526
6. Step 6: Final answer
   x = 488,919.66