Finding the Third Proportional to 78,836 and 119,892

Step by Step Solution

1. Step 1: Write the proportion equation
   78,836 : 119,892 = 119,892 : x
2. Step 2: Convert to fraction form
   78,836/119,892 = 119,892/x
3. Step 3: Cross multiply
   78,836x = 119,892 × 119,892
4. Step 4: Simplify right side
   78,836x = 14,374,091,664
5. Step 5: Solve for x
   x = 14,374,091,664/78,836
6. Step 6: Final answer
   x = 182,329.03