Finding the Third Proportional to 49,344 and 102,784

Step by Step Solution

1. Step 1: Write the proportion equation
   49,344 : 102,784 = 102,784 : x
2. Step 2: Convert to fraction form
   49,344/102,784 = 102,784/x
3. Step 3: Cross multiply
   49,344x = 102,784 × 102,784
4. Step 4: Simplify right side
   49,344x = 10,564,550,656
5. Step 5: Solve for x
   x = 10,564,550,656/49,344
6. Step 6: Final answer
   x = 214,100.01