Finding the Third Proportional to 50,261 and 105,688

Step by Step Solution

1. Step 1: Write the proportion equation
   50,261 : 105,688 = 105,688 : x
2. Step 2: Convert to fraction form
   50,261/105,688 = 105,688/x
3. Step 3: Cross multiply
   50,261x = 105,688 × 105,688
4. Step 4: Simplify right side
   50,261x = 11,169,953,344
5. Step 5: Solve for x
   x = 11,169,953,344/50,261
6. Step 6: Final answer
   x = 222,238.98