Finding the Third Proportional to 109,616 and 234,736

Step by Step Solution

1. Step 1: Write the proportion equation
   109,616 : 234,736 = 234,736 : x
2. Step 2: Convert to fraction form
   109,616/234,736 = 234,736/x
3. Step 3: Cross multiply
   109,616x = 234,736 × 234,736
4. Step 4: Simplify right side
   109,616x = 55,100,989,696
5. Step 5: Solve for x
   x = 55,100,989,696/109,616
6. Step 6: Final answer
   x = 502,672.87