Finding the Third Proportional to 49,864 and 109,414

Step by Step Solution

1. Step 1: Write the proportion equation
   49,864 : 109,414 = 109,414 : x
2. Step 2: Convert to fraction form
   49,864/109,414 = 109,414/x
3. Step 3: Cross multiply
   49,864x = 109,414 × 109,414
4. Step 4: Simplify right side
   49,864x = 11,971,423,396
5. Step 5: Solve for x
   x = 11,971,423,396/49,864
6. Step 6: Final answer
   x = 240,081.49