Finding the Third Proportional to 51,816 and 113,784

Step by Step Solution

1. Step 1: Write the proportion equation
   51,816 : 113,784 = 113,784 : x
2. Step 2: Convert to fraction form
   51,816/113,784 = 113,784/x
3. Step 3: Cross multiply
   51,816x = 113,784 × 113,784
4. Step 4: Simplify right side
   51,816x = 12,946,798,656
5. Step 5: Solve for x
   x = 12,946,798,656/51,816
6. Step 6: Final answer
   x = 249,861.02