Finding the Third Proportional to 83,300 and 119,036

Step by Step Solution

1. Step 1: Write the proportion equation
   83,300 : 119,036 = 119,036 : x
2. Step 2: Convert to fraction form
   83,300/119,036 = 119,036/x
3. Step 3: Cross multiply
   83,300x = 119,036 × 119,036
4. Step 4: Simplify right side
   83,300x = 14,169,569,296
5. Step 5: Solve for x
   x = 14,169,569,296/83,300
6. Step 6: Final answer
   x = 170,102.87