Finding the Third Proportional to 51,778 and 113,244.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,778 : 113,244.50 = 113,244.50 : x
2. Step 2: Convert to fraction form
   51,778/113,244.50 = 113,244.50/x
3. Step 3: Cross multiply
   51,778x = 113,244.50 × 113,244.50
4. Step 4: Simplify right side
   51,778x = 12,824,316,780.25
5. Step 5: Solve for x
   x = 12,824,316,780.25/51,778
6. Step 6: Final answer
   x = 247,678.87