Finding the Third Proportional to 222,586 and 345,111

Step by Step Solution

1. Step 1: Write the proportion equation
   222,586 : 345,111 = 345,111 : x
2. Step 2: Convert to fraction form
   222,586/345,111 = 345,111/x
3. Step 3: Cross multiply
   222,586x = 345,111 × 345,111
4. Step 4: Simplify right side
   222,586x = 119,101,602,321
5. Step 5: Solve for x
   x = 119,101,602,321/222,586
6. Step 6: Final answer
   x = 535,081.28