Finding the Third Proportional to 50,257.50 and 77,870.25

Step by Step Solution

1. Step 1: Write the proportion equation
   50,257.50 : 77,870.25 = 77,870.25 : x
2. Step 2: Convert to fraction form
   50,257.50/77,870.25 = 77,870.25/x
3. Step 3: Cross multiply
   50,257.50x = 77,870.25 × 77,870.25
4. Step 4: Simplify right side
   50,257.50x = 6,063,775,835.06
5. Step 5: Solve for x
   x = 6,063,775,835.06/50,257.50
6. Step 6: Final answer
   x = 120,654.15