Finding the Third Proportional to 53,619 and 105,892

Step by Step Solution

1. Step 1: Write the proportion equation
   53,619 : 105,892 = 105,892 : x
2. Step 2: Convert to fraction form
   53,619/105,892 = 105,892/x
3. Step 3: Cross multiply
   53,619x = 105,892 × 105,892
4. Step 4: Simplify right side
   53,619x = 11,213,115,664
5. Step 5: Solve for x
   x = 11,213,115,664/53,619
6. Step 6: Final answer
   x = 209,125.79