Finding the Third Proportional to 51,846 and 111,272

Step by Step Solution

1. Step 1: Write the proportion equation
   51,846 : 111,272 = 111,272 : x
2. Step 2: Convert to fraction form
   51,846/111,272 = 111,272/x
3. Step 3: Cross multiply
   51,846x = 111,272 × 111,272
4. Step 4: Simplify right side
   51,846x = 12,381,457,984
5. Step 5: Solve for x
   x = 12,381,457,984/51,846
6. Step 6: Final answer
   x = 238,812.21