Finding the Third Proportional to 109,646 and 236,210

Step by Step Solution

1. Step 1: Write the proportion equation
   109,646 : 236,210 = 236,210 : x
2. Step 2: Convert to fraction form
   109,646/236,210 = 236,210/x
3. Step 3: Cross multiply
   109,646x = 236,210 × 236,210
4. Step 4: Simplify right side
   109,646x = 55,795,164,100
5. Step 5: Solve for x
   x = 55,795,164,100/109,646
6. Step 6: Final answer
   x = 508,866.39