Finding the Third Proportional to 49,915 and 109,208

Step by Step Solution

1. Step 1: Write the proportion equation
   49,915 : 109,208 = 109,208 : x
2. Step 2: Convert to fraction form
   49,915/109,208 = 109,208/x
3. Step 3: Cross multiply
   49,915x = 109,208 × 109,208
4. Step 4: Simplify right side
   49,915x = 11,926,387,264
5. Step 5: Solve for x
   x = 11,926,387,264/49,915
6. Step 6: Final answer
   x = 238,933.93