Finding the Third Proportional to 48,436 and 103,784

Step by Step Solution

1. Step 1: Write the proportion equation
   48,436 : 103,784 = 103,784 : x
2. Step 2: Convert to fraction form
   48,436/103,784 = 103,784/x
3. Step 3: Cross multiply
   48,436x = 103,784 × 103,784
4. Step 4: Simplify right side
   48,436x = 10,771,118,656
5. Step 5: Solve for x
   x = 10,771,118,656/48,436
6. Step 6: Final answer
   x = 222,378.37