Finding the Third Proportional to 48,860 and 105,496

Step by Step Solution

1. Step 1: Write the proportion equation
   48,860 : 105,496 = 105,496 : x
2. Step 2: Convert to fraction form
   48,860/105,496 = 105,496/x
3. Step 3: Cross multiply
   48,860x = 105,496 × 105,496
4. Step 4: Simplify right side
   48,860x = 11,129,406,016
5. Step 5: Solve for x
   x = 11,129,406,016/48,860
6. Step 6: Final answer
   x = 227,781.54