Finding the Third Proportional to 50,240.25 and 77,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,240.25 : 77,758.50 = 77,758.50 : x
2. Step 2: Convert to fraction form
   50,240.25/77,758.50 = 77,758.50/x
3. Step 3: Cross multiply
   50,240.25x = 77,758.50 × 77,758.50
4. Step 4: Simplify right side
   50,240.25x = 6,046,384,322.25
5. Step 5: Solve for x
   x = 6,046,384,322.25/50,240.25
6. Step 6: Final answer
   x = 120,349.41