Finding the Third Proportional to 38,318 and 83,734

Step by Step Solution

1. Step 1: Write the proportion equation
   38,318 : 83,734 = 83,734 : x
2. Step 2: Convert to fraction form
   38,318/83,734 = 83,734/x
3. Step 3: Cross multiply
   38,318x = 83,734 × 83,734
4. Step 4: Simplify right side
   38,318x = 7,011,382,756
5. Step 5: Solve for x
   x = 7,011,382,756/38,318
6. Step 6: Final answer
   x = 182,978.83