Finding the Third Proportional to 48,846 and 105,156

Step by Step Solution

1. Step 1: Write the proportion equation
   48,846 : 105,156 = 105,156 : x
2. Step 2: Convert to fraction form
   48,846/105,156 = 105,156/x
3. Step 3: Cross multiply
   48,846x = 105,156 × 105,156
4. Step 4: Simplify right side
   48,846x = 11,057,784,336
5. Step 5: Solve for x
   x = 11,057,784,336/48,846
6. Step 6: Final answer
   x = 226,380.55