Finding the Third Proportional to 49,448 and 109,574

Step by Step Solution

1. Step 1: Write the proportion equation
   49,448 : 109,574 = 109,574 : x
2. Step 2: Convert to fraction form
   49,448/109,574 = 109,574/x
3. Step 3: Cross multiply
   49,448x = 109,574 × 109,574
4. Step 4: Simplify right side
   49,448x = 12,006,461,476
5. Step 5: Solve for x
   x = 12,006,461,476/49,448
6. Step 6: Final answer
   x = 242,809.85