Finding the Third Proportional to 51,532 and 109,814

Step by Step Solution

1. Step 1: Write the proportion equation
   51,532 : 109,814 = 109,814 : x
2. Step 2: Convert to fraction form
   51,532/109,814 = 109,814/x
3. Step 3: Cross multiply
   51,532x = 109,814 × 109,814
4. Step 4: Simplify right side
   51,532x = 12,059,114,596
5. Step 5: Solve for x
   x = 12,059,114,596/51,532
6. Step 6: Final answer
   x = 234,012.16