Finding the Third Proportional to 51,599 and 105,385

Step by Step Solution

1. Step 1: Write the proportion equation
   51,599 : 105,385 = 105,385 : x
2. Step 2: Convert to fraction form
   51,599/105,385 = 105,385/x
3. Step 3: Cross multiply
   51,599x = 105,385 × 105,385
4. Step 4: Simplify right side
   51,599x = 11,105,998,225
5. Step 5: Solve for x
   x = 11,105,998,225/51,599
6. Step 6: Final answer
   x = 215,236.69