Finding the Third Proportional to 51,526 and 105,805

Step by Step Solution

1. Step 1: Write the proportion equation
   51,526 : 105,805 = 105,805 : x
2. Step 2: Convert to fraction form
   51,526/105,805 = 105,805/x
3. Step 3: Cross multiply
   51,526x = 105,805 × 105,805
4. Step 4: Simplify right side
   51,526x = 11,194,698,025
5. Step 5: Solve for x
   x = 11,194,698,025/51,526
6. Step 6: Final answer
   x = 217,263.09