Finding the Third Proportional to 52,520 and 113,784

Step by Step Solution

1. Step 1: Write the proportion equation
   52,520 : 113,784 = 113,784 : x
2. Step 2: Convert to fraction form
   52,520/113,784 = 113,784/x
3. Step 3: Cross multiply
   52,520x = 113,784 × 113,784
4. Step 4: Simplify right side
   52,520x = 12,946,798,656
5. Step 5: Solve for x
   x = 12,946,798,656/52,520
6. Step 6: Final answer
   x = 246,511.78