Finding the Third Proportional to 46,766.50 and 113,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,766.50 : 113,216.50 = 113,216.50 : x
2. Step 2: Convert to fraction form
   46,766.50/113,216.50 = 113,216.50/x
3. Step 3: Cross multiply
   46,766.50x = 113,216.50 × 113,216.50
4. Step 4: Simplify right side
   46,766.50x = 12,817,975,872.25
5. Step 5: Solve for x
   x = 12,817,975,872.25/46,766.50
6. Step 6: Final answer
   x = 274,084.57