Finding the Third Proportional to 51,582 and 109,372

Step by Step Solution

1. Step 1: Write the proportion equation
   51,582 : 109,372 = 109,372 : x
2. Step 2: Convert to fraction form
   51,582/109,372 = 109,372/x
3. Step 3: Cross multiply
   51,582x = 109,372 × 109,372
4. Step 4: Simplify right side
   51,582x = 11,962,234,384
5. Step 5: Solve for x
   x = 11,962,234,384/51,582
6. Step 6: Final answer
   x = 231,907.15