Finding the Third Proportional to 162,405 and 242,784

Step by Step Solution

1. Step 1: Write the proportion equation
   162,405 : 242,784 = 242,784 : x
2. Step 2: Convert to fraction form
   162,405/242,784 = 242,784/x
3. Step 3: Cross multiply
   162,405x = 242,784 × 242,784
4. Step 4: Simplify right side
   162,405x = 58,944,070,656
5. Step 5: Solve for x
   x = 58,944,070,656/162,405
6. Step 6: Final answer
   x = 362,944.93