Finding the Third Proportional to 49,577.25 and 79,809.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,577.25 : 79,809.75 = 79,809.75 : x
2. Step 2: Convert to fraction form
   49,577.25/79,809.75 = 79,809.75/x
3. Step 3: Cross multiply
   49,577.25x = 79,809.75 × 79,809.75
4. Step 4: Simplify right side
   49,577.25x = 6,369,596,195.06
5. Step 5: Solve for x
   x = 6,369,596,195.06/49,577.25
6. Step 6: Final answer
   x = 128,478.21