Finding the Third Proportional to 51,848 and 105,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,848 : 105,882.50 = 105,882.50 : x
2. Step 2: Convert to fraction form
   51,848/105,882.50 = 105,882.50/x
3. Step 3: Cross multiply
   51,848x = 105,882.50 × 105,882.50
4. Step 4: Simplify right side
   51,848x = 11,211,103,806.25
5. Step 5: Solve for x
   x = 11,211,103,806.25/51,848
6. Step 6: Final answer
   x = 216,230.21