Finding the Third Proportional to 48,786 and 105,172

Step by Step Solution

1. Step 1: Write the proportion equation
   48,786 : 105,172 = 105,172 : x
2. Step 2: Convert to fraction form
   48,786/105,172 = 105,172/x
3. Step 3: Cross multiply
   48,786x = 105,172 × 105,172
4. Step 4: Simplify right side
   48,786x = 11,061,149,584
5. Step 5: Solve for x
   x = 11,061,149,584/48,786
6. Step 6: Final answer
   x = 226,727.95