Finding the Third Proportional to 51,399 and 109,584

Step by Step Solution

1. Step 1: Write the proportion equation
   51,399 : 109,584 = 109,584 : x
2. Step 2: Convert to fraction form
   51,399/109,584 = 109,584/x
3. Step 3: Cross multiply
   51,399x = 109,584 × 109,584
4. Step 4: Simplify right side
   51,399x = 12,008,653,056
5. Step 5: Solve for x
   x = 12,008,653,056/51,399
6. Step 6: Final answer
   x = 233,635.93