Finding the Third Proportional to 49,578 and 79,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,578 : 79,810.50 = 79,810.50 : x
2. Step 2: Convert to fraction form
   49,578/79,810.50 = 79,810.50/x
3. Step 3: Cross multiply
   49,578x = 79,810.50 × 79,810.50
4. Step 4: Simplify right side
   49,578x = 6,369,715,910.25
5. Step 5: Solve for x
   x = 6,369,715,910.25/49,578
6. Step 6: Final answer
   x = 128,478.68