Finding the Third Proportional to 103,680 and 242,784

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 242,784 = 242,784 : x
2. Step 2: Convert to fraction form
   103,680/242,784 = 242,784/x
3. Step 3: Cross multiply
   103,680x = 242,784 × 242,784
4. Step 4: Simplify right side
   103,680x = 58,944,070,656
5. Step 5: Solve for x
   x = 58,944,070,656/103,680
6. Step 6: Final answer
   x = 568,519.20