Finding the Third Proportional to 50,200.88 and 77,774.06

Step by Step Solution

1. Step 1: Write the proportion equation
   50,200.88 : 77,774.06 = 77,774.06 : x
2. Step 2: Convert to fraction form
   50,200.88/77,774.06 = 77,774.06/x
3. Step 3: Cross multiply
   50,200.88x = 77,774.06 × 77,774.06
4. Step 4: Simplify right side
   50,200.88x = 6,048,804,797.75
5. Step 5: Solve for x
   x = 6,048,804,797.75/50,200.88
6. Step 6: Final answer
   x = 120,492.02