Finding the Third Proportional to 49,876 and 109,592

Step by Step Solution

1. Step 1: Write the proportion equation
   49,876 : 109,592 = 109,592 : x
2. Step 2: Convert to fraction form
   49,876/109,592 = 109,592/x
3. Step 3: Cross multiply
   49,876x = 109,592 × 109,592
4. Step 4: Simplify right side
   49,876x = 12,010,406,464
5. Step 5: Solve for x
   x = 12,010,406,464/49,876
6. Step 6: Final answer
   x = 240,805.33