Finding the Third Proportional to 51,536 and 109,390

Step by Step Solution

1. Step 1: Write the proportion equation
   51,536 : 109,390 = 109,390 : x
2. Step 2: Convert to fraction form
   51,536/109,390 = 109,390/x
3. Step 3: Cross multiply
   51,536x = 109,390 × 109,390
4. Step 4: Simplify right side
   51,536x = 11,966,172,100
5. Step 5: Solve for x
   x = 11,966,172,100/51,536
6. Step 6: Final answer
   x = 232,190.55