Finding the Third Proportional to 50,109 and 107,970

Step by Step Solution

1. Step 1: Write the proportion equation
   50,109 : 107,970 = 107,970 : x
2. Step 2: Convert to fraction form
   50,109/107,970 = 107,970/x
3. Step 3: Cross multiply
   50,109x = 107,970 × 107,970
4. Step 4: Simplify right side
   50,109x = 11,657,520,900
5. Step 5: Solve for x
   x = 11,657,520,900/50,109
6. Step 6: Final answer
   x = 232,643.26