Finding the Third Proportional to 51,522 and 108,674

Step by Step Solution

1. Step 1: Write the proportion equation
   51,522 : 108,674 = 108,674 : x
2. Step 2: Convert to fraction form
   51,522/108,674 = 108,674/x
3. Step 3: Cross multiply
   51,522x = 108,674 × 108,674
4. Step 4: Simplify right side
   51,522x = 11,810,038,276
5. Step 5: Solve for x
   x = 11,810,038,276/51,522
6. Step 6: Final answer
   x = 229,223.21