Finding the Third Proportional to 37,778 and 82,339

Step by Step Solution

1. Step 1: Write the proportion equation
   37,778 : 82,339 = 82,339 : x
2. Step 2: Convert to fraction form
   37,778/82,339 = 82,339/x
3. Step 3: Cross multiply
   37,778x = 82,339 × 82,339
4. Step 4: Simplify right side
   37,778x = 6,779,710,921
5. Step 5: Solve for x
   x = 6,779,710,921/37,778
6. Step 6: Final answer
   x = 179,461.88