Finding the Third Proportional to 38,338 and 83,800

Step by Step Solution

1. Step 1: Write the proportion equation
   38,338 : 83,800 = 83,800 : x
2. Step 2: Convert to fraction form
   38,338/83,800 = 83,800/x
3. Step 3: Cross multiply
   38,338x = 83,800 × 83,800
4. Step 4: Simplify right side
   38,338x = 7,022,440,000
5. Step 5: Solve for x
   x = 7,022,440,000/38,338
6. Step 6: Final answer
   x = 183,171.79