Finding the Third Proportional to 51,123 and 109,354

Step by Step Solution

1. Step 1: Write the proportion equation
   51,123 : 109,354 = 109,354 : x
2. Step 2: Convert to fraction form
   51,123/109,354 = 109,354/x
3. Step 3: Cross multiply
   51,123x = 109,354 × 109,354
4. Step 4: Simplify right side
   51,123x = 11,958,297,316
5. Step 5: Solve for x
   x = 11,958,297,316/51,123
6. Step 6: Final answer
   x = 233,912.28