Finding the Third Proportional to 51,614 and 113,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,614 : 113,069.50 = 113,069.50 : x
2. Step 2: Convert to fraction form
   51,614/113,069.50 = 113,069.50/x
3. Step 3: Cross multiply
   51,614x = 113,069.50 × 113,069.50
4. Step 4: Simplify right side
   51,614x = 12,784,711,830.25
5. Step 5: Solve for x
   x = 12,784,711,830.25/51,614
6. Step 6: Final answer
   x = 247,698.53