Finding the Third Proportional to 169,116 and 262,222

Step by Step Solution

1. Step 1: Write the proportion equation
   169,116 : 262,222 = 262,222 : x
2. Step 2: Convert to fraction form
   169,116/262,222 = 262,222/x
3. Step 3: Cross multiply
   169,116x = 262,222 × 262,222
4. Step 4: Simplify right side
   169,116x = 68,760,377,284
5. Step 5: Solve for x
   x = 68,760,377,284/169,116
6. Step 6: Final answer
   x = 406,587.06