Finding the Third Proportional to 48,946 and 103,616

Step by Step Solution

1. Step 1: Write the proportion equation
   48,946 : 103,616 = 103,616 : x
2. Step 2: Convert to fraction form
   48,946/103,616 = 103,616/x
3. Step 3: Cross multiply
   48,946x = 103,616 × 103,616
4. Step 4: Simplify right side
   48,946x = 10,736,275,456
5. Step 5: Solve for x
   x = 10,736,275,456/48,946
6. Step 6: Final answer
   x = 219,349.39