Finding the Third Proportional to 51,494 and 112,830

Step by Step Solution

1. Step 1: Write the proportion equation
   51,494 : 112,830 = 112,830 : x
2. Step 2: Convert to fraction form
   51,494/112,830 = 112,830/x
3. Step 3: Cross multiply
   51,494x = 112,830 × 112,830
4. Step 4: Simplify right side
   51,494x = 12,730,608,900
5. Step 5: Solve for x
   x = 12,730,608,900/51,494
6. Step 6: Final answer
   x = 247,225.09