Finding the Third Proportional to 113,416 and 243,680

Step by Step Solution

1. Step 1: Write the proportion equation
   113,416 : 243,680 = 243,680 : x
2. Step 2: Convert to fraction form
   113,416/243,680 = 243,680/x
3. Step 3: Cross multiply
   113,416x = 243,680 × 243,680
4. Step 4: Simplify right side
   113,416x = 59,379,942,400
5. Step 5: Solve for x
   x = 59,379,942,400/113,416
6. Step 6: Final answer
   x = 523,558.78