Finding the Third Proportional to 48,198 and 105,468

Step by Step Solution

1. Step 1: Write the proportion equation
   48,198 : 105,468 = 105,468 : x
2. Step 2: Convert to fraction form
   48,198/105,468 = 105,468/x
3. Step 3: Cross multiply
   48,198x = 105,468 × 105,468
4. Step 4: Simplify right side
   48,198x = 11,123,499,024
5. Step 5: Solve for x
   x = 11,123,499,024/48,198
6. Step 6: Final answer
   x = 230,787.56