Finding the Third Proportional to 49,164 and 105,621

Step by Step Solution

1. Step 1: Write the proportion equation
   49,164 : 105,621 = 105,621 : x
2. Step 2: Convert to fraction form
   49,164/105,621 = 105,621/x
3. Step 3: Cross multiply
   49,164x = 105,621 × 105,621
4. Step 4: Simplify right side
   49,164x = 11,155,795,641
5. Step 5: Solve for x
   x = 11,155,795,641/49,164
6. Step 6: Final answer
   x = 226,909.85