Finding the Third Proportional to 49,894 and 109,184

Step by Step Solution

1. Step 1: Write the proportion equation
   49,894 : 109,184 = 109,184 : x
2. Step 2: Convert to fraction form
   49,894/109,184 = 109,184/x
3. Step 3: Cross multiply
   49,894x = 109,184 × 109,184
4. Step 4: Simplify right side
   49,894x = 11,921,145,856
5. Step 5: Solve for x
   x = 11,921,145,856/49,894
6. Step 6: Final answer
   x = 238,929.45