Finding the Third Proportional to 51,500 and 79,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,500 : 79,699.50 = 79,699.50 : x
2. Step 2: Convert to fraction form
   51,500/79,699.50 = 79,699.50/x
3. Step 3: Cross multiply
   51,500x = 79,699.50 × 79,699.50
4. Step 4: Simplify right side
   51,500x = 6,352,010,300.25
5. Step 5: Solve for x
   x = 6,352,010,300.25/51,500
6. Step 6: Final answer
   x = 123,340.01