Finding the Third Proportional to 61,778 and 83,905

Step by Step Solution

1. Step 1: Write the proportion equation
   61,778 : 83,905 = 83,905 : x
2. Step 2: Convert to fraction form
   61,778/83,905 = 83,905/x
3. Step 3: Cross multiply
   61,778x = 83,905 × 83,905
4. Step 4: Simplify right side
   61,778x = 7,040,049,025
5. Step 5: Solve for x
   x = 7,040,049,025/61,778
6. Step 6: Final answer
   x = 113,957.22