Finding the Third Proportional to 52,806.50 and 109,982.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,806.50 : 109,982.50 = 109,982.50 : x
2. Step 2: Convert to fraction form
   52,806.50/109,982.50 = 109,982.50/x
3. Step 3: Cross multiply
   52,806.50x = 109,982.50 × 109,982.50
4. Step 4: Simplify right side
   52,806.50x = 12,096,150,306.25
5. Step 5: Solve for x
   x = 12,096,150,306.25/52,806.50
6. Step 6: Final answer
   x = 229,065.56