Finding the Third Proportional to 50,469 and 109,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,469 : 109,777.50 = 109,777.50 : x
2. Step 2: Convert to fraction form
   50,469/109,777.50 = 109,777.50/x
3. Step 3: Cross multiply
   50,469x = 109,777.50 × 109,777.50
4. Step 4: Simplify right side
   50,469x = 12,051,099,506.25
5. Step 5: Solve for x
   x = 12,051,099,506.25/50,469
6. Step 6: Final answer
   x = 238,782.21