Finding the Third Proportional to 51,806 and 79,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,806 : 79,996.50 = 79,996.50 : x
2. Step 2: Convert to fraction form
   51,806/79,996.50 = 79,996.50/x
3. Step 3: Cross multiply
   51,806x = 79,996.50 × 79,996.50
4. Step 4: Simplify right side
   51,806x = 6,399,440,012.25
5. Step 5: Solve for x
   x = 6,399,440,012.25/51,806
6. Step 6: Final answer
   x = 123,527.00