Finding the Third Proportional to 59,778 and 83,778

Step by Step Solution

1. Step 1: Write the proportion equation
   59,778 : 83,778 = 83,778 : x
2. Step 2: Convert to fraction form
   59,778/83,778 = 83,778/x
3. Step 3: Cross multiply
   59,778x = 83,778 × 83,778
4. Step 4: Simplify right side
   59,778x = 7,018,753,284
5. Step 5: Solve for x
   x = 7,018,753,284/59,778
6. Step 6: Final answer
   x = 117,413.65