Finding the Third Proportional to 50,186.50 and 109,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,186.50 : 109,122.50 = 109,122.50 : x
2. Step 2: Convert to fraction form
   50,186.50/109,122.50 = 109,122.50/x
3. Step 3: Cross multiply
   50,186.50x = 109,122.50 × 109,122.50
4. Step 4: Simplify right side
   50,186.50x = 11,907,720,006.25
5. Step 5: Solve for x
   x = 11,907,720,006.25/50,186.50
6. Step 6: Final answer
   x = 237,269.39