Finding the Third Proportional to 51,020 and 110,238

Step by Step Solution

1. Step 1: Write the proportion equation
   51,020 : 110,238 = 110,238 : x
2. Step 2: Convert to fraction form
   51,020/110,238 = 110,238/x
3. Step 3: Cross multiply
   51,020x = 110,238 × 110,238
4. Step 4: Simplify right side
   51,020x = 12,152,416,644
5. Step 5: Solve for x
   x = 12,152,416,644/51,020
6. Step 6: Final answer
   x = 238,189.27