Finding the Third Proportional to 51,861 and 111,102

Step by Step Solution

1. Step 1: Write the proportion equation
   51,861 : 111,102 = 111,102 : x
2. Step 2: Convert to fraction form
   51,861/111,102 = 111,102/x
3. Step 3: Cross multiply
   51,861x = 111,102 × 111,102
4. Step 4: Simplify right side
   51,861x = 12,343,654,404
5. Step 5: Solve for x
   x = 12,343,654,404/51,861
6. Step 6: Final answer
   x = 238,014.20