Finding the Third Proportional to 50,008.50 and 77,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,008.50 : 77,530.50 = 77,530.50 : x
2. Step 2: Convert to fraction form
   50,008.50/77,530.50 = 77,530.50/x
3. Step 3: Cross multiply
   50,008.50x = 77,530.50 × 77,530.50
4. Step 4: Simplify right side
   50,008.50x = 6,010,978,430.25
5. Step 5: Solve for x
   x = 6,010,978,430.25/50,008.50
6. Step 6: Final answer
   x = 120,199.13