Finding the Third Proportional to 49,817 and 109,354

Step by Step Solution

1. Step 1: Write the proportion equation
   49,817 : 109,354 = 109,354 : x
2. Step 2: Convert to fraction form
   49,817/109,354 = 109,354/x
3. Step 3: Cross multiply
   49,817x = 109,354 × 109,354
4. Step 4: Simplify right side
   49,817x = 11,958,297,316
5. Step 5: Solve for x
   x = 11,958,297,316/49,817
6. Step 6: Final answer
   x = 240,044.51